Probability of Defective Light Bulbs

A factory produces light bulbs, and the probability that a light bulb is defective is 0.1. If a quality control inspector examines 5 light bulbs at random, what is the probability that exactly 2 of them are defective?

Use the binomial probability formula, which is given by:

Where:

• $n$ = number of trials (in this case, 5)
• $k$ = number of successful trials (in this case, 2)
• $p$ = probability of success on an individual trial (in this case, 0.1)