In a rain forest, it is well known that 61% of water lizards have webbed-feet which provide the ability to walk on water. Furthermore, the gene for possessing webbed-feet is not hereditary and, thus, each water lizard is independent of others. A biologist randomly selects 25 water lizards from the rain forest. Let the random variable X count the number of water lizards out of the 25 who have webbed-feet. (a) State the distribution of the random variable defined above. (b) Compute the probability that exactly 17 of the 25 selected water lizards have webbed-feet. (c) Compute the probability that at least 17 of the 25 selected water lizards have webbed-feet. (d) Compute the mean and standard deviation for the number of water lizards out of 25 who have webbedfeet. Use both to describe the typical number of water lizards out of 25 who have webbed-feet. Report 6. Suppose the number of patients per week that visit a health center follows a Poisson distribution with a rate of 300 patients per week. Let the random variable X count the number of patients that visit the health center during a randomly selected week. (a) State the distribution of the random variable defined above. (b) Compute the probability that exactly 310 patients visit the health center during a randomly selected week. (c) Compute the probability that more than 280 patients visit the health center during a randomly selected week.
Answers
The distributions of the random variables in the given scenarios are (a) binomial for the water lizards and (b) Poisson for the health center visits. The probabilities can be calculated using the respective formulas for the corresponding distributions.
(a) The distribution of the random variable X, which counts the number of water lizards out of the 25 selected with webbed feet, follows a binomial distribution.
This is because each lizard can be considered as a Bernoulli trial (success: possessing webbed feet, failure: not possessing webbed feet) with a probability of success (p) equal to 61% or 0.61, and the trials are independent.
(b) To compute the probability that exactly 17 of the 25 selected water lizards have webbed feet, we can use the binomial probability formula.
The probability mass function (PMF) for the binomial distribution is given by P(X = k) = C(n, k) * p^k * (1-p)^(n-k), where C(n, k) represents the number of combinations of n items taken k at a time. Plugging in the values, we have P(X = 17) = C(25, 17) * 0.61^17 * (1-0.61)^(25-17).
(c) To compute the probability that at least 17 of the 25 selected water lizards have webbed feet, we need to calculate the cumulative probability from 17 to 25. This can be done by summing up the probabilities for each value of X from 17 to 25: P(X ≥ 17) = P(X = 17) + P(X = 18) + ... + P(X = 25).
(d) The mean (μ) and standard deviation (σ) for the number of water lizards out of 25 who have webbed feet can be calculated using the formulas for the binomial distribution.
The mean is given by μ = n * p, where n is the number of trials (25) and p is the probability of success (0.61). The standard deviation is given by σ = sqrt(n * p * (1-p)).
Moving on to the second scenario:
(a) The distribution of the random variable X, which counts the number of patients that visit the health center during a randomly selected week, follows a Poisson distribution.
This is because the number of patients per week can be modeled as a Poisson process, where events (patient visits) occur independently and at a constant average rate (300 patients per week).
(b) To compute the probability that exactly 310 patients visit the health center during a randomly selected week, we can use the Poisson probability formula.
The probability mass function (PMF) for the Poisson distribution is given by P(X = k) = (e^(-λ) * λ^k) / k!, where λ is the average rate of the Poisson process (300 patients per week) and k is the number of events we are interested in (310 patients).
(c) To compute the probability that more than 280 patients visit the health center during a randomly selected week, we need to calculate the cumulative probability from 280 to infinity. This can be done by summing up the probabilities for each value of X from 280 to infinity: P(X > 280) = P(X = 281) + P(X = 282) + ... + P(X = ∞).
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Related Questions
By increasing temperature above 37*C, the immune system tries to kill the bacteria whose enzymes are used to being stable at 37*C? Tor F
Which of the following is not a zoonotic disease? A. Rocky mountain fever B. typhoid C. rabies D. yellow fever
Answers
The given statement is false and Option B Typhoid is not a zoonotic disease.
Bacteria with enzymes evolved to be stable at 37°C are not primarily targeted by temperature increases above that point. Instead of directly attacking certain bacteria or their enzymes, a fever's main function is to stimulate the body's immune system. The immune system's widespread reaction to many infections and other inflammatory diseases is fever.
The zoonotic illness typhoid is not one. Salmonella enterica serotype Typhi, the bacteria that cause illness, is mostly spread by contaminated food or drink. Zoonotic diseases are those that may spread from animals to people. It is a sickness that mostly affects the digestive system and is very infectious. Typhoid is generally spread by consuming food or drink that has been tainted by an infected person's feces.
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7C - Muscles and Bones
1.What gases does your body need and why?
2.How and why your Breathing rate/Pulse rate changes. (Difference between active and
resting)
3..what is a drug
4..What is the structure of the human arm and what muscles help it to move.
5. What is the Structure of capillaries and how 02/CO2 are stored and carried.
7F - Acids and Alkalis
1.What is an acid?
2.What is an Alkali?
3.What is a Neutral substance?
4.How does litmus reacts to Acids and Alkalis.
5.What is a variable?
6.What is the name of the reaction between an acid and an alkali?
7.What are the common Word equations (eg: sulfuric acid + zinc oxide—> zinc nitrate + water)
8.What are products and what are reactants？
Answers
1. Your body needs oxygen (O2) to break down food molecules and produce energy, and it needs to get rid of carbon dioxide (CO2), which is a waste product of cellular respiration. Oxygen is used to generate ATP (adenosine triphosphate), which is the primary source of energy for your body's cells.
2. Your breathing rate and pulse rate can change depending on your activity level. During exercise or other physical activity, your muscles require more oxygen, so you breathe faster and your heart beats faster to deliver more oxygen-rich blood to your muscles. This is called an active state. When you are at rest, your breathing rate and pulse rate are slower because your body requires less oxygen.
3. A drug is any substance that has a physiological effect when introduced into the body. Drugs can be used for medical purposes, such as treating or preventing illness, or they can be used recreationally or illegally.
4. The human arm consists of three main parts: the upper arm (humerus), the forearm (radius and ulna), and the hand (carpals, metacarpals, and phalanges). The muscles that help move the arm include the biceps brachii, triceps brachii, deltoid, and rotator cuff muscles.
5. Capillaries are small, thin-walled blood vessels that connect arteries and veins. They have a single layer of endothelial cells, which allows for the exchange of gases, nutrients, and waste products between the blood and the surrounding tissues. Oxygen (O2) and carbon dioxide (CO2) are stored and carried by hemoglobin, a protein found in red blood cells.
7F - Acids and Alkalis
1. An acid is a substance that donates hydrogen ions (H+) in solution, which lowers the pH of the solution.
2. An alkali is a substance that accepts hydrogen ions (H+) in solution, which raises the pH of the solution.
3. A neutral substance has a pH of 7 and is neither acidic nor alkaline.
4. Litmus is a pH indicator that turns red in the presence of an acid and blue in the presence of an alkali.
5. A variable is a factor that can be changed or manipulated in an experiment.
6. The reaction between an acid and an alkali is called a neutralization reaction.
7. Common word equations for neutralization reactions include:
- Hydrochloric acid + sodium hydroxide → sodium chloride + water
- Sulfuric acid + calcium hydroxide → calcium sulfate + water
- Nitric acid + potassium hydroxide → potassium nitrate + water
8. Reactants are the substances that react in a chemical reaction to produce products. Products are the substances that are produced by a chemical reaction.
I hoped this helped!
Select the correct answer.
which tissue is most likely to transport dissolved sugar?
A. sclerenchyma
B. collenchyma
C. parenchyma
Answers
Answer:
C. parenchyma
Explanation:
100%
hopes this helps.
cancer cells are characterized by increased cell division. inhibitors of microtubule assembly, colchicine for example, are used for cancer chemotherapy. how does an inhibitor of microtubule assembly affect cancerous cells?
Answers
One of the most effective groups of cancer chemotherapeutic medications currently used in clinics targets microtubules and interferes with the mitotic spindle's normal activity.
There is growing evidence that even small changes in microtubule dynamics can activate the spindle checkpoint, halting the cell cycle at mitosis and ultimately causing cell death. A new era in cancer treatment has been made possible by our growing understanding of tumor biology and our continuous respect for the capabilities of microtubule target agents (MTAs). However, a number of side effects and drug resistance have reduced the usefulness of these drugs for the treatment of cancer. In addition to resistance to the known MTAs, a number of novel MTAs have demonstrated significant activity against the proliferation of various cancer cells.
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Cancer cells lack the normal controls and mechanisms that regulate and restrict cell division. The cell cycle is the mechanism through which all cells, including healthy and malignant ones, divide.
The ability of chemotherapy to kill cancer cells depends on its ability to halt cell division. Usually, cancer drugs work by damaging the RNA or DNA that tells the cell how to copy itself in division. If the cancer cells are unable to divide, they die. Chemotherapy drugs that kill cancer cells only when they are dividing are called cell-cycle specific. Chemotherapy drugs that kill cancer cells when they are at rest are called cell-cycle non-specific. The scheduling of chemotherapy is set based on the type of cells, rate at which they divide, and the time at which a given drug is likely to be effective. This is why chemotherapy is typically given in cycles.
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Our _____ identity is determined by our height, weight, sex, age, and other corporeal characteristics.a. Physical Abilityb. Age c. Classd. Gender
Answers
Our physical identity is determined by our height, weight, sex, age, and other corporeal characteristics.
What is physical identity? Physical identity is determined by one's body structure, body measurements, age, and physical abilities, as well as corporeal characteristics. Physical characteristics that are quantifiable or measurable are referred to as corporeal characteristics.
These characteristics are not limited to height, weight, skin color, hair color, and so on, and they are determined by one's genetics, environment, and lifestyle. Gender is one of the corporeal characteristics that play a significant role in shaping our physical identity.
One's gender determines how they are perceived by society, as well as their access to resources and opportunities. Height, weight, and physical abilities are also significant corporeal characteristics that determine our physical identity.
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Why is spider not classified as an insect ?
Answers
Solution:
Both insects and arachnids are arthropods. However, in the morphology of an insect, there are 6 legs. While in the morphology of an arachnid there are 8 legs. Also, arachnids do not have antennae, their head is not differentiated from the body but is typically divided into two main regions called the cephalothorax (prosoma) and the abdomen (opisthosoma). Spiders belong to the arachnids, therefore a spider is different from an insect. Therefore, a spider cannot be classified as an insect.
in the procedure concerning pancreatic lipase digestion of fats and the action of bile salts, how did the appearance of tubes1e and 2e differ?
Answers
The procedure of pancreatic lipase digestion of fats and the action of bile salts typically involves adding a lipid emulsion, pancreatic lipase, and bile salts to two test tubes, 1e and 2e, and incubating them for a period of time.
Tube 1e usually contains the lipid emulsion and pancreatic lipase but no bile salts. In this tube, the lipid emulsion may not be effectively digested because pancreatic lipase requires bile salts to emulsify the fat droplets and break them down into smaller components. As a result, tube 1e may appear cloudy or milky due to the presence of undigested fat droplets.
Tube 2e, on the other hand, usually contains the lipid emulsion, pancreatic lipase, and bile salts. In this tube, the bile salts aid in the emulsification of the fat droplets and the subsequent digestion by pancreatic lipase. As a result, tube 2e may appear clearer as the fat droplets may have been broken down into smaller components by pancreatic lipase and bile salts.
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HELP pls will mark you the brainliest
Answers
Answer: it's b my friend
Explanation:
Which of the following processes are endothermic?
The temperature of water increases from 20°C to 90°C.
Droplets of condensation form on the outside of a window.
Vapor rises off a block of dry ice.
An ice cube melts on a hot sidewalk.
Frost forms on the leaves of a tree.
Answers
Answer: I think your answer is "Vapor rises off a block of dry ice/An ice cube melts on a hot sidewalk."
Explanation: A good rule of thumb when figuring out whether a reaction is exothermic or endothermic is to consider whether it would be cold to the touch or hot to the touch. Heat usually means exothermic, and cold usually means endothermic.
An endothermic reaction is cold because it absorbs the heat from its surroundings in order to react. This takes the heat energy away and leaves its surroundings cold.
The answer can't be A because the water's rising temperature would let off heat. The answer can't be B because condensation does not make its environment colder. D is a little bit tricky, however, water freezing into frost is exothermic, not endothermic. This may seem counterintuitive because frost is cold, but this is true because when something freezes, it loses heat. Energy can't vanish, so the heat must be released into the environment. Because it technically releases heat, D is exothermic and is not the correct answer.
Summary: Fusion, vaporization, and sublimation are endothermic processes, whereas freezing, condensation, and deposition are exothermic processes.
How to sample using a quadrat
Answers
Answer:
1. Divide the area to be sampled into a grid using measuring tapes at right angles to each other.
2. Use random numbers to generate coordinates within the grid on which to place the quadrats.
3. Place a quadrat on each coordinate.
4. Count the numbers percentage cover of each species in quadrats.
5. Use a key to identify each species.
6. Record the results in a table.
7. Calculate the average of each species.
IT TOOK ME MUCH TIME TO WRITE IT .
SO, PLEASE MARK ME AS BRAINLIEST
Describe what a normal year looks like for El Nino.
Answers
Find the function rule for the input-output table.
Answers
Test the function rule by plugging in some values for the input and checking if the output matches the value in the input-output table. If the output values match, then the function rule is correct.
To find the function rule for an input-output table, first, look for any patterns or relationships between the input values and the output values. One way to do this is to calculate the difference between each set of consecutive output values and compare them to the difference between the corresponding input values. If the differences are constant, then the function is likely linear.
Next, use the pattern or relationship found to write an equation for the function rule. The equation should include the independent variable (the input) and the dependent variable (the output), and any necessary constants or coefficients.
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How are P and S waves categorized?
Help Me Please
Answers
Explanation:
number 3 p waves are longitudinal waves and s waves are transverse waves
Which ventilation allows warm air to escape while drawing in fresh, cooler air?
O Active
O Passive
O Natural
O Automatic
Answers
Passive ventilation allows warm air to escape while drawing in fresh, cooler air.
The correct option is B.
What is ventilation?Air is moved through the conducting tubes between both the lungs and the atmosphere during ventilation, often known as breathing. Pressure gradients created by the diaphragm or thoracic muscles flexing cause the air to travel through the channels.
Why is ventilation important biology?To keep the gradients in gas concentration in the alveoli, a breathing system is required. The concentration of carbon dioxide and oxygen between both the blood and the alveoli causes gas diffusion.
What differentiates ventilation from respiration?The processes of respiration and metabolism are separate. Physiologic respiration involves the exchange of gases in the cells and the alveoli (external respiration). Mechanical ventilation involves the movement of air (internal respiration).
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Provide an example of a mutation that has a neutral effect on the organism.
___________ provide neither a beneficial nor harmful effect on ____________
Answers
Answer: EXAMPLE:Black bears can carry the mutated gene that produces the white bears.
Explanation:
Order the following steps of the polymerase chain reaction, beginning with the first step at the top.
1. DNA polymerase adds nucleotides to the primer and synthesizes copies of the target DNA.
2. Heat to separate strands of target DNA.
3. heat and cool again to produce 4 copies of the target DNA.
4. add target DNA, heat-stable DNA polymerase, primers, and nucleotides to reaction mixture.
5. cool to allow primer attachment.
6. heat and cool again to produce 8 copies of the target DNA.
Answers
The steps of the polymerase chain reaction, beginning with the first step at the top are: 1. Add target DNA, heat-stable DNA polymerase, primers, and nucleotides to the reaction mixture, 2. Heat to separate strands of target DNA, 3. Cool to allow primer attachment, 4. Heat and cool again to produce 4 copies of the target DNA, 5. Heat and cool again to produce 8 copies of the target DNA, 6. DNA polymerase adds nucleotides to the primer and synthesizes copies of the target DNA.
Polymerase chain reaction (PCR) is a laboratory technique that is used to make multiple copies of a DNA sequence. It is based on the natural process of DNA replication and uses a heat-stable DNA polymerase enzyme to make copies of a specific target DNA sequence. The PCR process involves several steps, including denaturation, annealing, and extension, which are repeated multiple times to amplify the target DNA.
PCR is commonly used in molecular biology, genetic research, and medical as well as forensic applications.
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Which microfossils are useful for paleotemperature determination
using the oxygen isotope ratios of their shells?
Answers
The microfossils that are useful for paleotemperature determination using the oxygen isotope ratios of their shells are foraminifera.
Foraminifera are tiny marine animals that have been living for millions of years. Their shells are made up of calcium carbonate and are well-preserved in sediments. The shells of these microorganisms are widely used in paleoceanography to determine past climatic conditions. Paleoceanography is the study of the history of the oceans in the geological past using sediments and fossils. It helps us to understand how the oceans and climate have changed over time.
Paleotemperature is the measure of the temperature that existed in past geological ages. The temperature is determined by various means, including studying the growth rings of trees, ice cores, and microfossils, and others. Microfossils are microscopic fossils that are found in rocks and sediments that help in reconstructing past environmental and climatic conditions.
Oxygen isotope ratio is the measure of the relative abundance of oxygen isotopes 18O and 16O in a sample. The ratio of the two isotopes changes as a result of temperature changes. The ratio is used to reconstruct past temperature changes.
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Which of the following sequences could be RNA?
A
AUCUGA
B
ATCTGA
C
GATTACA
D
AAATIT
Answers
Answer:
A
Explanation:
RNA contains U which DNA does not.
The sequence of the RNA will be AUCUGA. The correct option is A.
What is RNA?All biological cells contain ribonucleic acid (RNA), a crucial biological macromolecule.
It plays a major role in the production of proteins by acting as a messenger for DNA, which in turn carries the genetic instructions necessary for the growth and maintenance of life.
RNA performs a wide range of tasks, including regulating gene activity during development, cellular differentiation, and changing environmental conditions.
It also translates genetic information into the molecular machineries and cell structures.
Adenine (A), cytosine (C), guanine (G), and thymine are the bases that are employed in DNA (T).
Thymine is replaced by the nucleotide uracil (U) in RNA. Long strands of nucleotides make up the polymeric DNA and RNA molecules.
Thus, the correct option is A.
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at spatial scales, north american bird populations are . at spatial scales, north american bird populations are . large, random large, clumped small, random small, regular
Answers
At large spatial scales, north american bird populations are clumped
A population is made up of every organism of a specific species that resides in a specific location. A population of organisms may be dispersed randomly, uniformly, or clumped. When a population is described as uniform, it is equally spaced, random shows uneven spacing, and clumped, it is dispersed in groups.
The main risks to bird populations in North America include habitat loss, climate change, and overexploitation of certain species. Bird distribution in North America is clumped together on a huge spatial scale due to staggering global decreases in bird populations.
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of the following cell components, which group comprises the endomembrane system?a. perioxisomes, mitochondria, endoplasmic reticulum b. lysosome, vacuole, perixisomes c. nuclear membrane, nucleolus, golgi apparatus d. golgi apparatus, vacuole, endoplasmic recticulum
Answers
The group that comprises the endomembrane system would be golgi apparatus, vacuole, and endoplasmic reticulum. Option D.
The endomembrane systemThe endomembrane system is a group of membrane-bound organelles that work together to modify, package, and transport proteins and lipids.
It includes the endoplasmic reticulum, Golgi apparatus, and vesicles such as vacuoles and lysosomes. The peroxisomes and mitochondria are not part of the endomembrane system as they have their own unique functions in the cell.
The nuclear membrane and nucleolus are also not part of the endomembrane system as they are involved in the control of genetic information rather than protein synthesis and transport.
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how is silk thread obtained
from the silkworm
Answers
Answer:
Extracting raw silk starts by cultivating the silkworms on mulberry leaves. Once the worms start pupating in their cocoons, these are dissolved in boiling water in order for individual long fibres to be extracted and fed into the spinning reel.
Explanation:
It's pretty cool to watch if you have the chance to.
What is the mass of the green cone?
Answers
Answer:
500 g
Explanation: trust
Answer:
500 g
Explanation:
i guessed:)
explain the adaptation in plants using cactus as an example
Answers
Answer: Cactus plant has succulent stem that conserves water.
Cactus plants posseses thorns which prevents/reduces transpiration
Housing rats in a complex social environment with much stimulation leads to some changes in brain structure, including __________:
a) increased cortical mass.
b) all of the given answers
c) increased dendritic branching of cortical neurons.
d) prolonged neural health, well into senescence.
Answers
Housing rats in a complex social environment with much stimulation leads to some changes in brain structure, including b) all of the given answers.
Housing rats in a complex social environment with much stimulation can result in various changes in brain structure. These changes include increased cortical mass, increased dendritic branching of cortical neurons, and prolonged neural health, well into senescence. The complex social environment provides opportunities for social interactions, cognitive stimulation, and physical activity, which can lead to enhanced brain development and plasticity. Increased cortical mass suggests structural adaptations in the brain, potentially indicating improved cognitive abilities. The increased dendritic branching of cortical neurons signifies increased synaptic connections and neural complexity, which can enhance information processing and learning. Prolonged neural health into senescence suggests that the enriched environment may have a protective effect against age-related cognitive decline. Overall, a complex social environment with stimulation has a positive impact on brain structure in rats.
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What prevents a lake or ocean from freezing solid?
Answers
Answer:
The surface layer of the water freezes solid creating a barrier that insulates the ice below so that it keeps a steady temperature usually a few degrees above freezing (32 degrees).
Explanation:
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Complete the analogy
Cells : _______ :: Species : Population
Answers
Answer:
There are more but there is only one blank so,
The answer should be Organism (?)
Someone sprays perfume in another room. It can be smelled a few minutes later. Which process is this called?.
Answers
Answer:Diffusion is a much more general term which can apply to all different types of molecules.
Explanation:
Which of the following is NOT a psychological factor affecting pain?interpretationanxietyattentionendorphins
Answers
Interpretation, anxiety, and attention are psychological factors affecting pain. Psychological factors that are present when we sense pain can completely change the intensity of pain.
Endorphins serves as analgesic or sedative that curtail pain that are produced in the brain, spinal cord and other parts of he body that are discharged as a feedback to the neurotransmitters of the brain.
Answer - Option 4 - endorphins
The rate of transpiration decreases with?
Answers
Answer:
yo
Explanation:
555555555589888888
Which organism in this food web would you expect to
have the greatest amount of biomass if a biomass
pyramid was created for this ecosystem?
Answers
Answer:
Kelp
Explanation:
The plants are known as producers and they absorb energy in the form of solar energy and converts it into chemical energy. They have the highest energy as they absorb 100% energy from the sun.
Same goes for the biomass, the kelp will contains the highest biomass pyramid will be made. As kelp will be the producer so it will have the maximum biomass.