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 7.4. Find the probability that fewer than six tickets are written on a randomly selected day.
A) 0.252557
B) 0.391962
C) 0.747443
D) 0.608038

Question

Quizplus · Accepted Answer

The probability of fewer than six tickets being written is the cumulative probability of 0, 1, 2, 3, 4, and 5 tickets. Using the Poisson distribution with a mean of 7.4, this cumulative probability is approximately 0.252557.

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