On average, 2 percent of all persons who are given a breathalyzer test by the State Police pass the test (blood alcohol under .08 percent). Suppose that 500 breathalyzer tests are given. (a) What is...

On average, 2 percent of all persons who are given a breathalyzer test by the State Police pass the test (blood alcohol under .08 percent). Suppose that 500 breathalyzer tests are given. (a) What is the expected number who pass the test? (b) What is the approximate Poisson probability that 5 or fewer will pass the test?