Suppose that the number of parking tickets issued in a calendar year to a certain driver follows a Poisson distribution with mean of 4.7. The fine for each ticket is $75. What is the probability that this driver will pay more than $350 in fine in the upcoming calendar year?
Suppose a certain tour operator offers excursion tours and the number of tourists served by this tour operator follows a Poisson distribution with mean of 12 per day. The cost of the excursion tour is $125 per person. What is the probability that the total daily revenue will not exceed $700?
Solution is found below.
Solution to Problem 8a
The probability function of the Poisson distribution in question is:
Having 5 or more tickets would lead to a total fine of more than $350. Thus the answer is:
Answer to Problem 8b