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Get Full Access to Probability And Statistical Inference - 9 Edition - Chapter 2.3 - Problem 1e
Get Full Access to Probability And Statistical Inference - 9 Edition - Chapter 2.3 - Problem 1e

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# Find the mean and variance for the following discrete

ISBN: 9780321923271 41

## Solution for problem 1E Chapter 2.3

Probability and Statistical Inference | 9th Edition

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Problem 1E

Problem 1E

Find the mean and variance for the following discrete distributions:

Step-by-Step Solution:

Step 1 of 3 :

The claim is to find the mean and variance for the given,

1. f(x) = ,                 x = 5, 10, 15, 20, 25.
2. f(x) = 1,                  x = 5
3. f(x) = ,             x = 1, 2, 3.

The mean is E(x) = x f(x)

= 5 () + 10  ()   +  15  ()  + 20  ()   +  25 ()

= 1  +  2  +  3  +  4  +  5

= 15

The mean of the distribution is 15.

Variance = E() - ( E(x)

Where,  E() =   () +   ()   +    ()  +   ()   +   ()

= 5 + 20 + 45 + 80 + 125

= 275

then , Variance = E() - ( E(x)

= 275  -

= 50

The variance of the distribution is 50.

Step 2 of 3

Step 3 of 3

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Find the mean and variance for the following discrete