The average defect rate on a 2010 Volkswagen vehicle was reported to be 1.35 defects per vehicle.

Question:

The average defect rate on a 2010 Volkswagen vehicle was reported to be 1.35 defects per vehicle. Suppose that we inspect 100 Volkswagen vehicles at random.

(a) What is the approximate normal probability of finding at least 150 defects?

(b) Of finding fewer than 100 defects?

(c) Use Excel to calculate the actual Poisson probabilities. How close were your approximations?

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