Q. 4.33 - A First Course in Probability

Question

Repeat Theoretical Exercise 4.32, this time assuming that withdrawn chips are not replaced before the next selection. 

Step-by-Step Solution

Answer

Probability mass function does not exist

Step 1 Given information

Jar contains $n$ chips

Withdrawn chips are not replaced before the next selection

$X$= number of draws until previously drawn chip is drawn again

Step 2 Explanation

When the chips are not replaced before the next selection, then it is not possible to draw a previously drawn chip again.

This then implies that $X$ is not a random variable, because all integer values for $X$ cannot be an outcome for $X$ and thus the value of $X$ is not random.

Step 3 Final answer

Since $X$ is not a random variable, the probability mass function of $X$ does not exist.