Advance Placement Statistics?

Question

It is estimated that 52% of drivers text while driving. How many people should a police officer expect to pull over until she finds a driver NOT texting while driving?

Note this question uses the expected value or mean formula for geometric distribution.

Answer 1

A geometric random value gives a discrete time to the first success. In this case a success is a driver that is not texting, and its probability (p) is 0.52.

The expected value of a geometric random variable is 1/p. In this case, it would be 1/0.52, which is about 1.923.