   Chapter 14.CR, Problem 50E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# 47-50 Expected Value These exercises involve expected value.Exercise Program Liam goes jogging several times a week. In any given week the probability that he jogs three times is 0.4 , that he jogs two times is 0.1 , that he jogs once is 0.2 , and that he doesn’t go jogging is 0.3 . Find the expected number of times he goes jogging in any given week.

To determine

The expected number of times of Liam goes jogging.

Explanation

Approach:

The expected value is given as,

E=a1p1+a2p2+a3p3+a4p4 ...(1)

Here, a1,a2,a3anda4 is the number of times Liam goes for jogging, and p1,p2,p3andp4 is the probability of going for jogging three times, two times, one time and doesn’t go for jogging in a week respectively.

Given:

The probability of Liam going for jogging three times a week is 0.4, two times in a week is 0.1, once in a week is 0.2 and doesn’t go for jogging is 0.3.

Calculation:

Calculate the expected number of times Liam goes for jogging in a week.

Substitute 0.4 for p1, 0.1 for p2, 0.2 for p3, 0

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