Chapter 8.5, Problem 42E

(A)

To determine

The probability distribution of $X$, where $X$ represents the random variable of a number of defective bulbs found in a random sample of $2$ selected from the box of $8$ flashbulbs which has $3$ defective bulbs.

(B)

To determine

To calculate: The expected value of the number of defective bulbs in a sample where $X$ represents the random variable of the number of defective bulbs found in a random sample of $2$ selected from the box of $8$ flashbulbs which has $3$ defective bulbs.