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Chapter 4: Q.22 (page 284)

Identify the mistake in the probability distribution table.

Use the following information to answer the next five exercises: A physics professor wants to know what percent of physics

majors will spend the next several years doing post-graduate research. He has the following probability distribution.

Short Answer

Expert verified

Multiplying column XwithP(X)mistakes. The entries 0.40,0.65,0.85and1are all incorrect.

Step by step solution

01

Given Information

Every month, 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

In the above probability distribution tale, sum of column P(X)will add up to 1as :

0.15+0.25+0.25+0.20+0.15=1

There is no error. There are errors in the third column because

2(0.25)鈮�.40it stands 0.50

Similarly, 3(0.25)鈮�0.65but it stands 0.75

4(0.20)鈮�0.85but it stands 0.80

5(0.15)鈮�1but it stands 0.75

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