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Chapter 4: Q.19 (page 283)

Find the expected value from the expected value table.

Short Answer

Expert verified

Expected value is5.4.

Step by step solution

01

Given Information

Sam participates in community events as a volunteer. In a month, he performs no more than five events. He attends exactly five activities 35%of the time, four events 25%of the time, three events 20%of the time, two events 10%of the time, one event 5%of the time, and no events 5%of the time.

02

Explanation

According to the data in the table above, the expected value of the random variable is the sum of the entries in the column x*P(x)that is

2(0.1)+(4(0.3)+6(0.4)+8(0.2)=0.2+1.2+2.4+1.6=5.4

As a result, the expected value is5.4.

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