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Chapter 4: Q.21 (page 284)

Identify the mistake in the probability distribution table.

Short Answer

Expert verified

Sum of columnP(X)isnot1.

Step by step solution

01

Given Information

Sam volunteers in community events on each month. He only participates in five events at a time. in a month. He joins exactly five events 35%of time, four events 25%of time, three events 20%of time, two events 10%of time, one event 5%of time and no events 5%of time.

02

Explanation

The preceding probability distribution table contains an error in that the total of the P(X)column will not add up to1.

This is because

0.15+0.25+0.30+0.20+0.15=1.05

which is not possible. so,

The sum of probability of all values chosen by a random variable is always1.

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