The value of k that makes the function f ( x ) = k x , 5 ≤ x ≤ 25 a probability density function.

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Answer 1

Question

Chapter 12, Problem 13RE

(a)

To determine

To calculate: The value of k that makes the function f(x)=kx , 5≤x≤25 a probability density function.

To determine

To calculate: The probability that the household exceeds $20,000 for the given function f(x)=kx , 5≤x≤25.

(c)

To determine

To calculate: The mean annual income of households in the community for density function f(x)

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Using the uniform probability density function:U f(x)=1-(b-a) for a<=x<=b 0 elsewhere The label on a bottle of liquid detergent shows contents to be 12 ounces per bottle. The production operation fills the bottle uniformly according to the following probability density function:f(x) = 8 for 11.975 ≤ x ≤ 12.100andf(x) = 0 elsewhere a. What is the probability that a bottle will be filled with 12.02 or more ounces?b. What is the probability that a bottle will be filled between 12 and 12.05 ounces?c. Quality control accepts production that is within .02 ounces of number of ounces shown on the container label. What is the probability that a bottle of this liquid detergent will fail to meet the quality control standard?

Discrete X and Y random variables only take integer values.Calculate the probability density table using the combined density function given below.and calculate the constant s. E(x),E(y),E[x^2],E[y^2],E[XY],Var(X),Var(Y),Cov(XY),pxy

Answer 2

Question

Chapter 12, Problem 13RE

(a)

To determine

To calculate: The value of k that makes the function f(x)=kx , 5≤x≤25 a probability density function.

To determine

To calculate: The probability that the household exceeds $20,000 for the given function f(x)=kx , 5≤x≤25.

(c)

To determine

To calculate: The mean annual income of households in the community for density function f(x)

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Answer 3

Question

Chapter 12, Problem 13RE

(a)

To determine

To calculate: The value of k that makes the function f(x)=kx , 5≤x≤25 a probability density function.

To determine

To calculate: The probability that the household exceeds $20,000 for the given function f(x)=kx , 5≤x≤25.

(c)

To determine

To calculate: The mean annual income of households in the community for density function f(x)

Expert Solution & Answer

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Answer 4

Question

Chapter 12, Problem 13RE

(a)

To determine

To calculate: The value of k that makes the function f(x)=kx , 5≤x≤25 a probability density function.

To determine

To calculate: The probability that the household exceeds $20,000 for the given function f(x)=kx , 5≤x≤25.

(c)

To determine

To calculate: The mean annual income of households in the community for density function f(x)

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 12, Problem 13RE

(a)

To determine

To calculate: The value of k that makes the function f(x)=kx , 5≤x≤25 a probability density function.

To determine

To calculate: The probability that the household exceeds $20,000 for the given function f(x)=kx , 5≤x≤25.

(c)

To determine

To calculate: The mean annual income of households in the community for density function f(x)

Answer 6

Chapter 12, Problem 13RE

(a)

To determine

To calculate: The value of k that makes the function f(x)=kx , 5≤x≤25 a probability density function.

Answer 7

Chapter 12, Problem 13RE

(a)

To determine

To calculate: The value of k that makes the function f(x)=kx , 5≤x≤25 a probability density function.

Answer 8

To determine

To calculate: The probability that the household exceeds $20,000 for the given function f(x)=kx , 5≤x≤25.

Answer 9

To determine

To calculate: The probability that the household exceeds $20,000 for the given function f(x)=kx , 5≤x≤25.

Answer 10

(c)

To determine

To calculate: The mean annual income of households in the community for density function f(x)

Answer 11

(c)

To determine

To calculate: The mean annual income of households in the community for density function f(x)

Answer 12

Expert Solution & Answer

Answer 13

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Answer 14

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Answer 15

Ch. 12.1 - Compute the expected value and the variance of the...Ch. 12.1 - Prob. 2CYU Ch. 12.1 - Prob. 1E Ch. 12.1 - Prob. 2E Ch. 12.1 - Prob. 3E Ch. 12.1 - Prob. 4E Ch. 12.1 - Prob. 5E Ch. 12.1 - Probability Table, Expected Value The number of...Ch. 12.1 - Prob. 7E Ch. 12.1 - Prob. 8E

The value of k that makes the function f ( x ) = k x , 5 ≤ x ≤ 25 a probability density function.

Solution Summary: The author explains how the function f(x) is a probability density function.

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To calculate: The value of k that makes the function f(x)=kx , 5≤x≤25 a probability density function.

To calculate: The probability that the household exceeds $20,000 for the given function f(x)=kx , 5≤x≤25.

To calculate: The mean annual income of households in the community for density function f(x)

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