.Question No. 4 (CLO-2) (5) Discuss the Bayes' theorem and apply this theorem for three urns of the same appearance having the following properties of defective and effective items. Urn A: 1 defective, 2 effective items. Urn B: 2 defective, 1 effective items. Urn C: 2 defective, 2 effective items. One of the urns is selected and an item is drawn from it. It turns out to be a effective. What is the probability that: a) Urn À was chosen? b) Urn B was chosen? c) Urn C was chosen?

Answer:

Check your question well

Step-by-step explanation:

U didn't ask to draw angle p so how can we get the angle r

Answer:

24

Step-by-step explanation:

because 24 is the highest between those two

Answer:

24

Step-by-step explanation:

GCF of 48 and 72 Examples

Therefore, the greatest common factor of 48 and 72 is 24.

Answer:Does this help?

Step-by-step explanation:

3/4 needs to have the same denominator as 8/12 so you can do this by multiplying the denominator by 3 and the top by 3 you get 9/12 When you convert them to percents you get , 3/4= 75% and 8/12= 66.666%

Answer:

I believe it is $63.60..........

Answer:

-6

Step-by-step explanation:

3x+x+4=-20

4x+4=-20

4x=-24

x=-6

Answer:

the answer is 2.5 hope it helps

Answer:

2.5

Step-by-step explanation:

Answer:

It will take about 11 more minutes for the oven to reach 352 degrees

Step-by-step explanation:

The rate at which the oven heats up is 23 degrees per minute. Will let "x" represent the amount of minutes it will take:

23x

The oven is already at 75 degrees, so we will add this piece of information to the rate:

23x + 75

The final value is 325:

23x + 75 = 325

Now to solve for x or the remaining minutes

23x + 75 = 325

23x = 250

x = 10.86 ≈ 11

a. f(v₁, v₂, v₃) = f₁(v₁) × f₂(v₂) × f₃(v₃) is the  joint pdf of (V₁, V₂, V₃).

b. The marginal pdf of V₂ is 1, indicating that V₂ is uniformly distributed between 0 and 1.

Given that Y₁, Y₂, Y₃, and Y₄ are order statistics of a random sample X₁, X₂, X₃, and X₄ from a uniform distribution U(0, θ), we know that the joint pdf of the order statistics is given by:

f(y₁, y₂, y₃, y₄) = n! / [(k₁ - 1)! × (k₂ - k₁ - 1)! × (k₃ - k₂ - 1)! × (n - k₃)!] × [1 / (θⁿ)],

where n is the sample size (n = 4 in this case), θ is the upper bound of the uniform distribution (θ in U(0, θ)), and k₁, k₂, k₃ are the orders of the order statistics (in ascending order).

Now, we need to determine the values of k₁, k₂, k₃ for the given V₁, V₂, V₃.

k₁ = 1 (as Y₁ is the smallest order statistic)

k₂ = 2 (as Y₂ is the second smallest order statistic)

k₃ = 3 (as Y₃ is the third smallest order statistic)

Now, we can express V₁ = Y₁/Y₂, V₂ = Y₂/Y₃, and V₃ = Y₃/Y₄ in terms of the order statistics:

V₁ = Y₁ / Y₂ = X₁ / X₂

V₂ = Y₂ / Y₃ = X₂ / X₃

V₃ = Y₃ / Y₄ = X₃ / X₄

Since X₁, X₂, X₃, and X₄ are independently and uniformly distributed between 0 and θ, the joint pdf of (V₁, V₂, V₃) can be expressed as the product of their individual pdfs:

f(v₁, v₂, v₃) = f₁(v₁) × f₂(v₂) × f₃(v₃),

where f₁(v₁) is the pdf of V₁, f₂(v₂) is the pdf of V₂, and f₃(v₃) is the pdf of V₃.

(b) To find the marginal pdf of V₂, we integrate the joint pdf f(v₁, v₂, v₃) over v₁ and v₃:

f₂(v₂) = ∫[0, ∞] ∫[0, ∞] f(v₁, v₂, v₃) dv₁ dv₃

Since we know the joint pdf f(v₁, v₂, v₃) is the product of the individual pdfs, we can write:

f₂(v₂) = ∫[0, ∞] ∫[0, ∞] f₁(v₁) × f₂(v₂) × f₃(v₃) dv₁ dv₃

Now, integrate the expression with respect to v₁ and v₃ over their respective domains (0 to ∞):

f₂(v₂) = ∫[0, ∞] f₁(v₁) dv₁ × ∫[0, ∞] f₃(v₃) dv₃

Since V₁ = X₁ / X₂ and V₃ = X₃ / X₄, we can express f₁(v₁) and f₃(v₃) in terms of the pdf of the uniform distribution:

f₁(v₁) = 1 / θ for 0 ≤ v₁ ≤ 1

f₃(v₃) = 1 / θ for 0 ≤ v₃ ≤ 1

Integrating over their respective domains:

∫[0, ∞] f₁(v₁) dv₁ = ∫[0, 1] (1 / θ) dv₁ = 1

∫[0, ∞] f₃(v₃) dv₃ = ∫[0, 1] (1 / θ) dv₃ = 1

Therefore, the marginal pdf of V₂ is:

f₂(v₂) = 1 × 1 = 1.

The marginal pdf of V₂ is a constant 1, indicating that V₂ is uniformly distributed between 0 and 1.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ4

Let Y₁ ​ ,Y₂ ​ ,Y₃ ​ ,Y₄ ​ be the order statitic of a U(0,θ) random ample X₁ ​, X₂ ​ ,X₃ ​ ,X₄ ​.

(a) Find the joint pdf of (V₁ ,V₂ ​ ,V₃ ​ ) , where V₁ ​ = Y₁/Y₂ ​ ​ ,V₂ ​ =Y₂/Y₃ ​ ​and V₃ ​ = Y₃/Y₄ ​ ​.

(b) Find the marginal pdf of V₂. ​

The long jump pit was recently rebuilt to make it level with the runway.  the amount of wood, in meters, is 12.29 meters.

Generally, To determine the amount of wood needed in meters, you will need to convert the length of each piece of wood from feet to meters. You can use the conversion factor that 1 foot is equal to approximately 0.3048 meters.

To convert the length of the wood from feet to meters, you can use the formula:

length in meters = length in feet * 0.3048

Using this formula, you can calculate that 2.75 meters is equal to approximately 9 feet, and 9.54 meters is equal to approximately 31.25 feet.

Therefore, the total amount of wood needed in meters is 2.75 meters + 9.54 meters = 12.29 meters.

Read more about meters

https://brainly.com/question/29438351

#SPJ1

Answer:

4 ft/sec

Step-by-step explanation:

Hope it helps

Answer:

1.)

y= (15 x 3) - 40

y= 45-40

y= 41

2.)

y= (2/3 x 21) +20

y= 14+20

y= 34

3.)

y= (3* -2)² +17

y= -6² +17

y= -36 +17

y= -19

SRY I DID NOT ANSWER BEFORE

Answer:

1.) y= 41

2.) y=34

3.) y= -19

Step-by-step explanation:

1.) y= (15 x 3) - 40

   y= 45-40

   y= 41

2.) y= (2/3 x 21) +20

    y= 14+20

    y= 34

3.) y= (3* -2)² +17

    y= -6² +17

    y= -36 +17

    y= -19

Answer:

18.2

Step-by-step explanation:

divide 91 by 5

x x x x x. x x x x x x x x x x xx. x

Answer:

-9,40

Step-by-step explanation:

Midpoint Formula:

\((\frac{x^{1} +x^{2} }{2},\frac{y^{1} +y^{2} }{{2} } } )\)

Answer:

Midpoint = (−9,40)

Step-by-step explanation:

Answer:

width = 14 feet

Step-by-step explanation:

the 7 part of the ratio relates to the length of the garden , then

24.5 feet ÷ 7 = 3.5 feet ← value of one part of the ratio , so

width = 4 × 3.5 feet = 14 feet

The required distance of Cori from where he started is 35km.

Distance is a quantitative or qualitative measurement of the distance between two objects or places. Distance can refer to a physical length or an estimation based on other criteria in physics or everyday usage. Because spatial cognition is a rich source of conceptual metaphors in human thought, the term is also used metaphorically to mean a measurement of the amount of difference between two similar objects or a degree of separation. The concept of a metric space is used to codify most such conceptions of distance, both physical and metaphorical.

Given,

Cori races her friend heading south for 9 kilometers, east for 20 kilometers, then south for 6 more kilometers.

The distance of Cori from starting point=9+20+6

=15+20

=35

Hence, the required distance of Cori from where he started is 35km.

To know more about distance, visit:

https://brainly.com/question/15172156

#SPJ4

Answer:

18

Step-by-step explanation:

total candy: t

t = 10+4(2) as there were 4 kids who got 2 pieces each

t = 18

Answer:

18 pieces

Step-by-step explanation:

10 for herself

2 × 4 = 8

10+8 = 18

The expected effect on Y of a change of 3 units in X1 in the model Yi is 3β1 + 3β3X2 i.e., the correct option is D.

The expected effect on Y of a change of 3 units in X1 in the model: Yi = β0 + β1X1 + β2X2 + β3(X1 × X2) + ui

The expected effect on Y of a change of 3 units in X1 can be calculated by calculating the partial derivative of Y with respect to X1, and then multiplying the result by the change in X1, which is 3 units.
The partial derivative of Y with respect to X1 is:
∂Y/∂X1 = β1 + β3X2
Now, we multiply the result by the change in X1 (3 units):
Expected effect = (β1 + β3X2) * 3
This simplifies to:
Expected effect = 3β1 + 3β3X2
Hence, the correct answer is:
d. 3β1 + 3β3X2

Learn more about partial derivative here:

https://brainly.com/question/28750217

#SPJ11

A. The equations for the amounts of money Lyle and Shaun have in their accounts are represented as:

f(x) = 20x + 100

g(x) = 10x + 500

B. When f(x) = g(x), x = 40.

A linear equation can be written in slope-intercept form y = mx + b. Here, the value of m is the unit rate or slope, while the value of b is its y-intercept or initial value.

Part A:

Equation for Lyle:

y-intercept / initial value (b) = $100

Slope / unit rate (m) = $20

To write the equation, substitute m = 20 and b = 100 into f(x) = mx + b:

f(x) = 20x + 100.

Equation for Lyle:

y-intercept / initial value (b) = $500

Slope / unit rate (m) = $10

To write the equation, substitute m = 10 and b = 500 into g(x) = mx + b:

g(x) = 10x + 500.

Part B: To solve the system, we would do the following:

20x + 100 = 10x + 500

20x - 10x = -100 + 500

10x = 400

x = 400/10

x = 40

Learn more about system of linear equations on:

https://brainly.com/question/14323743

#SPJ1

Answer:

no slope

Step-by-step explanation:

The exponential model that calculates the concentration of bacteria after x weeks can be represented by the equation B(x) = 2.1 million * (3^x), the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

This equation assumes that the concentration triples each week, starting from the initial concentration of 2.1 million bacteria per milliliter.

To estimate the concentration after 1.6 weeks, we can substitute x = 1.6 into the exponential model. B(1.6) = 2.1 million * (3^1.6) ≈ 14.87 million bacteria per milliliter. Therefore, after 1.6 weeks, the estimated concentration of bacteria in the river would be approximately 14.87 million bacteria per milliliter.

The exponential model B(x) = 2.1 million * (3^x) represents the concentration of bacteria after x weeks, where the concentration triples each week. By substituting x = 1.6 into the equation, we estimate that the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

Learn more about equation here:

https://brainly.com/question/29538993

#SPJ11

The expression that represents the value of the 7 in expanded notation is '0.01 ×7'.

Expanded notation is a way of expressing numbers by the place value of each digit. It is quite different from writing in expanded form.

In expanded notation, the given number is represented as the sum of the place values of each number.  

The following are some examples of Expanded notation  

1. 2457  

Expanded notation = (2 × 1000) + (4 × 100) + (5 × 10) + 7 × 1  

2. 46.81

Expanded notation = 4 × 10 + 6 × 1 + 8 × 10⁻¹ + 1 × 10⁻²  

Here we have

A teacher wrote the number 54.672 on the board.  

According to the place values of each digit given number can be expanded as follows

=> 5× 10 + 4 × 1 + 6 × 10⁻¹ + 7 × 10⁻²+ 2 × 10⁻³  

=> 5× 10 + 4 × 1 + 6 × 0.1 + 7 × 0.01+ 2 × 0.001  

Therefore,

The expression that represents the value of the 7 in expanded notation is '0.01 ×7'.

Learn more about Expanded notation

https://brainly.com/question/941627  

#SPJ1

Option B is inaccurate since historical data and weather trends may be expressions used to determine the chance. Since probabilities are always between 0 and 1, option D is erroneous.

An expression in mathematics is a collection of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, division, exponentiation, and so on) that express a quantity or value. Expressions might be as basic as "3 + 4" or as complex as  They may also contain functions like "sin(x)" or "log(y)". Expressions can be evaluated by substituting values for the variables and performing the mathematical operations in the order specified. If x = 2, for example, the formula "3x + 5" equals . Expressions are commonly used in mathematics to describe real-world situations, construct equations, and simplify complex mathematical issues.

The following statement is most likely correct concerning the likelihood of temperatures falling below 32 degrees Fahrenheit in Maine during the month of January:

D. The probability is greater than one.

Maine is noted for its frigid winters, with temperatures often falling below freezing in January. Yet, it is not certain that temperatures would never fall below 32 degrees Fahrenheit in January. As a result, it is safe to state that the likelihood of temperatures falling below 32 degrees Fahrenheit is high, but not absolutely 100%. Option B is inaccurate since historical data and weather trends may be used to determine the chance. Since probabilities are always between 0 and 1, option D is erroneous.

To know more about expressions visit :-

https://brainly.com/question/14083225

#SPJ1

Answer:

x = 9 ; -1

Step-by-step explanation:

\(x {}^{2} - 8x + 16 = 25 \\ x {}^{2} - 8x + 16 - 25 = 0 \\ {x}^{2} - 8x - 9 = 0 \\ (x + 1)(x - 9) = 0 \\ x = - 1 \\ x = 9\)

Answer:

12x - 3y

Step-by-step explanation:

Add like-terms:

10x + 2x - 3y = 12x - 3y

Answer:

1/3

Step-by-step explanation:

(number of favoured outcomes)/(total possible outcomes)

here number of favoured choices is 1 and the total number of choices is 3

The \(PROBABILITY\) of drawing a \(BLUE\) counter is

\(\frac{1}{3}\) because we have 3 counters, and only 1 of them is blue.

Hope it helps!

◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦

◦    Comment:               ◦

◦     Please                    ◦

◦          Mark                   ◦

◦          Brainliest           ◦

◦                :)                 ◦

◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦

(a) Chloe's budget constraint can be written as:

Pₓx + Pᵧy = I

where Pₓ is the price of books, Pᵧ is the price of video games, and I is Chloe's income.

(b) The Marginal Rate of Substitution (MRS) at an arbitrary bundle (x, y) can be calculated by taking the partial derivative of the utility function U(x, y) = xy² with respect to x and dividing it by the partial derivative of U(x, y) with respect to y. Mathematically, it is given by:

MRS = (∂U/∂x) / (∂U/∂y) = (y²) / (2xy) = y / (2x)

(c) To find Chloe's demand for books and video games for any possible values of Pₓ, Pᵧ, and I, we need to maximize her utility subject to the budget constraint. We can set up the following optimization problem:

Maximize U(x, y) = xy²

subject to the budget constraint Pₓx + Pᵧy = I

Solving this problem will give us the demand equations for books and video games, which represent Chloe's optimal choices given the prices and her income.

(d) The expenditure on books (Eₓ) can be calculated by multiplying the demand for books (x) by the price of books (Pₓ). Similarly, the expenditure on video games (Eᵧ) can be calculated by multiplying the demand for video games (y) by the price of video games (Pᵧ). Therefore:

Eₓ = Px * x

Eᵧ = Pᵧ * y

(e) If Chloe's utility function is U(x, y) = (x + 5)y² and her income (I) is $15, the price of books (Pₓ) is $3, and the price of video games (Pᵧ) is $5, we can use the optimization problem to find her demand for books and video games. By maximizing U(x, y) subject to the budget constraint, we can find the values of x and y that yield the highest utility.

(f) Continuing from the previous question, if Chloe's utility function is U(x, y) = (x + 5)y² and her income (I) is $15, the price of books (Pₓ) is $5, and the price of video games (Pᵧ) is $5, we can again use the optimization problem to find her demand for books and video games. By maximizing U(x, y) subject to the budget constraint, we can determine the values of x and y that maximize her utility given the prices and income.

Learn more about utility function here:

brainly.com/question/31055643

#SPJ11

Answer: To find the answer, we need to calculate the change in population from 2010 to 2015.

First, we need to find the population in 2015:

Population in 2015 = Population in 2010 + Growth from 2010 to 2015

Population in 2015 = 223,000 + (5% of 223,000)

Population in 2015 = 223,000 + 11,150

Population in 2015 = 234,150

Next, we can calculate the change in population from 2010 to 2015:

Change in population from 2010 to 2015 = Population in 2015 - Population in 2010

Change in population from 2010 to 2015 = 234,150 - 223,000

Change in population from 2010 to 2015 = 11,150

Rounding to the nearest 100 people, we get:

Change in population from 2010 to 2015 ≈ 11,200 people

Therefore, the population grew by approximately 11,200 people from 2010 to 2015.

Step-by-step explanation:

The population grow from 2010 to 2015 is 11,150

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Percent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

Total population in 2010 = 223000

From 2010 to 2015, the population grew by 5%.

Then, the population grew from 2010 - 2015

\(= 5\% \ \text{of} \ 223000\)

\(= \dfrac{5}{100} \times 223000\)

\(= 5 \times 2230\)

\(= 11150\)

Learn more about percentage here:

brainly.com/question/29306119

Answer:

The coefficient of x²

a) 1

b) -4

the coefficient of x² is the number in front of the x²(variable).

Coefficient= Constanta

I hope this helps

if u have question let me know in comments ^_^

Answer:

a) 1.

b) -4.

Step-by-step explanation:

The coefficient is the number  multiplying x2. If it is 1 it is usually omitted.