The university police department must write, on average, five tickets per day to keep department revenues at budgeted levels. Suppose the number of tickets written per day follows a Poisson distribution with a mean of 7.5. Find the probability that fewer than six tickets are written on a randomly selected day.
A) 0.621845
B) 0.241436
C) 0.378155
D) 0.758564

Question

Quizplus · Accepted Answer

The probability of fewer than six tickets (0 to 5) can be calculated using the Poisson probability formula. The sum of probabilities for 0 to 5 tickets with a mean of 7.5 gives approximately 0.241436.

The University Police Department Must Write, on Average, Five Tickets