The average defect rate on a 2010 Volkswagen vehicle was reported to be 1.39 defects per vehicle. Suppose that we inspect 100 Volkswagen vehicles at random. (a) What is the approximate probability of...

The average defect rate on a 2010 Volkswagen vehicle was reported to be 1.39 defects per vehicle. Suppose that we inspect 100 Volkswagen vehicles at random.


(a)
What is the approximate probability of finding at least 140 defects?
(Round your
z-value to 2 decimal places and your final answer to 4 decimal places.)

 probability:?????????

(b)
What is the approximate probability of finding fewer than 108 defects?
(Round your
z-value to 2 decimal places and your final answer to 5 decimal places.)

  probability:?????????

(c-1)Use Excel to calculate the actual Poisson probabilities.
(Round your answers to 5 decimal places.)
at least 140 defects:?????????

fewer than 180 defects:??????????