   Chapter 8, Problem 21RE ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# For the probability distribution shown, find the(a) mean.(b) variance.(c) standard deviation. x Pr(x) 1 1/12 2 1/6 3 1/3 4 5/12

(a)

To determine

To calculate: The mean of the discrete probability distribution,

 x Pr(x) 1 1/12 2 1/6 3 1/3 4 5/12
Explanation

Given Information:

The discrete probability distribution is,

 x Pr(x) 1 1/12 2 1/6 3 1/3 4 5/12

Formula Used:

The mean is the expected value of the probability distribution x is,

μ=E(x)=(xPr(x))

Calculation:

Consider the discrete probability distribution,

 x Pr(x) 1 1/12 2 1/6 <

(b)

To determine

To calculate: The variance of the probability distribution,

 x Pr(x) 1 1/12 2 1/6 3 1/3 4 5/12

(c)

To determine

To calculate: The standard deviation of the probability distribution,

 x Pr(x) 1 1/12 2 1/6 3 1/3 4 5/12

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