The expected value E ( X ) and interpret it, when the density function is f ( x ) = 20 x 3 ( 1 − x ) , 0 ≤ x ≤ 1 .

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Answer 1

Question

Chapter 12.3, Problem 10E

(a)

To determine

To calculate: The expected value E(X) and interpret it, when the density function is f(x)=20x3(1−x) , 0≤x≤1.

(b)

To determine

To calculate: The variance Var(X), when the density function is f(x)=20x3(1−x) , 0≤x≤1.

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Let x denote the amount of gravel sold (in tons) during a randomly selected week at a particular sales facility. Suppose that the density curve has height f(x) above the value x where S2(1 - x) osx s1 otherwise. (x) The density curve (the graph of f(x)) is shown in the following figure. Density Gravel (tons) Use the fact that the area of a triangle - (base)(height) to calculate each of the probabilities. (Hint: Drawing a picture and shading the appropriate area will help.) (a) The probability that gravel sold exceeds ton. (b) The probability that gravel sold is at least - ton. 8

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Answer 2

Question

Chapter 12.3, Problem 10E

(a)

To determine

To calculate: The expected value E(X) and interpret it, when the density function is f(x)=20x3(1−x) , 0≤x≤1.

(b)

To determine

To calculate: The variance Var(X), when the density function is f(x)=20x3(1−x) , 0≤x≤1.

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Answer 3

Question

Chapter 12.3, Problem 10E

(a)

To determine

To calculate: The expected value E(X) and interpret it, when the density function is f(x)=20x3(1−x) , 0≤x≤1.

(b)

To determine

To calculate: The variance Var(X), when the density function is f(x)=20x3(1−x) , 0≤x≤1.

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Answer 4

Question

Chapter 12.3, Problem 10E

(a)

To determine

To calculate: The expected value E(X) and interpret it, when the density function is f(x)=20x3(1−x) , 0≤x≤1.

(b)

To determine

To calculate: The variance Var(X), when the density function is f(x)=20x3(1−x) , 0≤x≤1.

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Answer 5

Chapter 12.3, Problem 10E

(a)

To determine

To calculate: The expected value E(X) and interpret it, when the density function is f(x)=20x3(1−x) , 0≤x≤1.

(b)

To determine

To calculate: The variance Var(X), when the density function is f(x)=20x3(1−x) , 0≤x≤1.

Answer 6

Chapter 12.3, Problem 10E

(a)

To determine

To calculate: The expected value E(X) and interpret it, when the density function is f(x)=20x3(1−x) , 0≤x≤1.

Answer 7

Chapter 12.3, Problem 10E

(a)

To determine

To calculate: The expected value E(X) and interpret it, when the density function is f(x)=20x3(1−x) , 0≤x≤1.

Answer 8

(b)

To determine

To calculate: The variance Var(X), when the density function is f(x)=20x3(1−x) , 0≤x≤1.

Answer 9

(b)

To determine

To calculate: The variance Var(X), when the density function is f(x)=20x3(1−x) , 0≤x≤1.

Answer 10

Expert Solution & Answer

Answer 11

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Answer 12

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Answer 13

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 expected value E ( X ) and interpret it, when the density function is f ( x ) = 20 x 3 ( 1 − x ) , 0 ≤ x ≤ 1 .

Solution Summary: The author calculates the expected value E(X)=23 and interprets it.

To calculate: The expected value E(X) and interpret it, when the density function is f(x)=20x3(1−x) , 0≤x≤1.

To calculate: The variance Var(X), when the density function is f(x)=20x3(1−x) , 0≤x≤1.

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