Question

Identify the mistake in the probability distribution table.

Short answer

Sum of column$P\left(X\right)isnot1.$

Step-by-step solution

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.

Explanation

The preceding probability distribution table contains an error in that the total of the $P\left(X\right)$column will not add up to$1.$

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 always$1.$