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10th Edition

Ron Larson

Publisher: Cengage Learning

ISBN: 9781305860919

Chapter 9, Problem 6TYS

Textbook Problem

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In Exercises 5 and 6, find the expected value, variance, and standard deviation for the given probability distribution.

x |
-2 |
-1 |
0 |
1 |
2 |

P(x) |
0.141 | 0.305 | 0.257 | 0.063 | 0.234 |

To determine

**To calculate:** The expected value, variance and standard deviation of the probability distribution:

**Given Information:**

The probability distribution:

**Formula used:**

If a discrete random variable takes the values

Variance of the random variable is defined as,

The standard deviation of the random variable is defined as,

**Calculation:**

Consider the provided probability distribution.

First use the provided probability distribution and the expected value formula

So, the expected value is calculated as,

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