The expected value E ( X ) and interpret it, whenrandom variable X denotes the useful life (in hundreds of hours) of a certain machine component with thecumulative distribution functionis F ( x ) = 1 9 x 2 , 0 ≤ x ≤ 3 .

Question

Want to see the full answer?

Answer 1

Question

Chapter 12.3, Problem 11E

(a)

To determine

To calculate: The expected value E(X) and interpret it, whenrandom variable X denotes the useful life (in hundreds of hours) of a certain machine component with thecumulative distribution functionis F(x)=19 x2, 0≤x≤3.

(b)

To determine

To calculate: The variance Var(X), when a random variable X denotes the useful life (in hundreds of hours) of a certain machine component with the cumulative distribution function F(x)=19 x2, 0≤x≤3.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Students have asked these similar questions

2 prove that Dxy #Dx Dy

EXAMPLE 3 Find S X √√2-2x2 dx. SOLUTION Let u = 2 - 2x². Then du = Χ dx = 2- 2x² = 信 du dx, so x dx = du and u-1/2 du (2√u) + C + C (in terms of x).

Let g(z) = z-i z+i' (a) Evaluate g(i) and g(1). (b) Evaluate the limits lim g(z), and lim g(z). 2-12 (c) Find the image of the real axis under g. (d) Find the image of the upper half plane {z: Iz > 0} under the function g.

Answer 2

Question

Chapter 12.3, Problem 11E

(a)

To determine

To calculate: The expected value E(X) and interpret it, whenrandom variable X denotes the useful life (in hundreds of hours) of a certain machine component with thecumulative distribution functionis F(x)=19 x2, 0≤x≤3.

(b)

To determine

To calculate: The variance Var(X), when a random variable X denotes the useful life (in hundreds of hours) of a certain machine component with the cumulative distribution function F(x)=19 x2, 0≤x≤3.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 12.3, Problem 11E

(a)

To determine

To calculate: The expected value E(X) and interpret it, whenrandom variable X denotes the useful life (in hundreds of hours) of a certain machine component with thecumulative distribution functionis F(x)=19 x2, 0≤x≤3.

(b)

To determine

To calculate: The variance Var(X), when a random variable X denotes the useful life (in hundreds of hours) of a certain machine component with the cumulative distribution function F(x)=19 x2, 0≤x≤3.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 12.3, Problem 11E

(a)

To determine

To calculate: The expected value E(X) and interpret it, whenrandom variable X denotes the useful life (in hundreds of hours) of a certain machine component with thecumulative distribution functionis F(x)=19 x2, 0≤x≤3.

(b)

To determine

To calculate: The variance Var(X), when a random variable X denotes the useful life (in hundreds of hours) of a certain machine component with the cumulative distribution function F(x)=19 x2, 0≤x≤3.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 5

Chapter 12.3, Problem 11E

(a)

To determine

To calculate: The expected value E(X) and interpret it, whenrandom variable X denotes the useful life (in hundreds of hours) of a certain machine component with thecumulative distribution functionis F(x)=19 x2, 0≤x≤3.

(b)

To determine

To calculate: The variance Var(X), when a random variable X denotes the useful life (in hundreds of hours) of a certain machine component with the cumulative distribution function F(x)=19 x2, 0≤x≤3.

Answer 6

Chapter 12.3, Problem 11E

(a)

To determine

To calculate: The expected value E(X) and interpret it, whenrandom variable X denotes the useful life (in hundreds of hours) of a certain machine component with thecumulative distribution functionis F(x)=19 x2, 0≤x≤3.

Answer 7

Chapter 12.3, Problem 11E

(a)

To determine

To calculate: The expected value E(X) and interpret it, whenrandom variable X denotes the useful life (in hundreds of hours) of a certain machine component with thecumulative distribution functionis F(x)=19 x2, 0≤x≤3.

Answer 8

(b)

To determine

To calculate: The variance Var(X), when a random variable X denotes the useful life (in hundreds of hours) of a certain machine component with the cumulative distribution function F(x)=19 x2, 0≤x≤3.

Answer 9

(b)

To determine

To calculate: The variance Var(X), when a random variable X denotes the useful life (in hundreds of hours) of a certain machine component with the cumulative distribution function F(x)=19 x2, 0≤x≤3.

Answer 10

Expert Solution & Answer

Answer 11

Expert Solution & Answer

Answer 12

Want to see the full answer?

Check out a sample textbook solution

See solution

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, whenrandom variable X denotes the useful life (in hundreds of hours) of a certain machine component with thecumulative distribution functionis F ( x ) = 1 9 x 2 , 0 ≤ x ≤ 3 .

Solution Summary: The author calculates the expected value E(X)=2 and interprets it.

Concept explainers

Videos

To calculate: The expected value E(X) and interpret it, whenrandom variable X denotes the useful life (in hundreds of hours) of a certain machine component with thecumulative distribution functionis F(x)=19 x2, 0≤x≤3.

To calculate: The variance Var(X), when a random variable X denotes the useful life (in hundreds of hours) of a certain machine component with the cumulative distribution function F(x)=19 x2, 0≤x≤3.

Want to see the full answer?

Chapter 12 Solutions