Question

A company publishes statistics concerning car quality. The initial quality score measures the number of problems per new car sold. For one year, Car A had 1.24 problems per car. Let the random variable X be equal to the number of problems with a newly purchased model A car. Complete (a) and (b) below a. If you purchased a modelA car, what is the probability that the new car will have zero problems? The probability that the new model A car will have zero problems is (Round to four decimal places as needed.) b. If you purchased a model A car, what is the probability that the new car will have two or fewer problems? The probability that a new model A car will have two or fewer problems is (Round to four decimal places as needed.)

Answer 1

This is Poisson distribution with mean = 1.24

A) P(X = 0) = 1.24°*e-1.24 O -= 0.2894

BP(X<2) = P(0) + P(1) + P(2)

1.24º*e-1.24 1.241 *e-1.24 1.242 *e-1.24 P(X < 2) = + 01

P(X < 2) = 0.8707

So, part A) answer is 0.2894

Part B) answer is 0.8707.