Question

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

Multiplying column $XwithP\left(X\right)$mistakes. The entries $0.40,0.65,0.85and1$are all incorrect.

Step-by-step solution

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.

Explanation

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

$0.15+0.25+0.25+0.20+0.15=1$

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

$2(0.25)\ne .40$it stands $0.50$

Similarly, $3(0.25)\ne 0.65$but it stands $0.75$

$4(0.20)\ne 0.85$but it stands $0.80$

$5(0.15)\ne 1$but it stands $0.75$