The average defect rate on a 2020 Ford vehicle was reported to be 1.21 defects per vehicle. Suppose that we inspect 100 Volkswagen vehicles at random.
(a) What is the approximate probability of finding at least 147 defects?
(b) What is the approximate probability of finding fewer than 98 defects?
(c) Use Excel to calculate the actual Poisson probabilities. (round answer to 5 decimal places)
- At least 151 defects
- Fewer than 98 defects
(d) How close were your approximations?
a. quite different
b. fairly close
c. exactly the same