Question: As part of the required annual New York State auto inspection, a new emissions test is required. Based on the technology of this test it is estimated that 15 percent of all cars will fail the inspection. Of the next 20 cars undergoing inspection at a specific station:

a. What is the probability that 5 cars will fail the inspection?

b. What is the probability that at least 5 cars will fail the inspection?

c. What is the probability that at least three and at most eight cars will fail the inspection?

d. What is the probability that more than 8 cars will fail the inspection?