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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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