Rework problem 22 from section 3.5 of your text involving inspection at a widget factory.

Rework problem 22 from section 3.5 of your text involving inspection at a widget factory. Assume that the box contains 2 defective widgets and 9 acceptable widgets. There are 5 inspectors, each of whom selects a widget from the box at random, inspects it, and then replaces it in the box. Each inspector makes his or her inspection at a different time.

What is the probability that at least one inspector will find a defective widget?