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 tickets per day. a. what is the average number of tickets per day b. Find the probability that exactly 3 tickets are written on a randomly selected day from this distribution. c. Find the probability that more than 2 tickets are written on a randomly selected day from this distribution.

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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
tickets per day.
a. what is the average number of tickets per day
b. Find the probability that exactly 3 tickets are written on a randomly selected day from this distribution.
c. Find the probability that more than 2 tickets are written on a randomly selected day from this distribution.
Transcribed Image Text: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 tickets per day. a. what is the average number of tickets per day b. Find the probability that exactly 3 tickets are written on a randomly selected day from this distribution. c. Find the probability that more than 2 tickets are written on a randomly selected day from this distribution.
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