The number of parking tickets issued in a certain city on any given weekday has a Poisson distribution µ = 50. (Round your answers to four decimal places.) (a) Calculate the approximate probability that between 35 and 80 tickets are given out on a particul: (b) Calculate the approximate probability that the total number of tickets given out during a 5-day w and 265.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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The number of parking tickets issued in a certain city on any given weekday has a Poisson distribution with parameter
50. (Round your answers to four decimal places.)
(a) Calculate the approximate probability that between 35 and 80 tickets are given out on a particular day.
(b) Calculate the approximate probability that the total number of tickets given out during a 5-day week is between 205
and 265.
(c) Use software to obtain the exact probabilities in (a) and (b) and compare to their approximations.
Calculate the exact probability that between 35 and 80 tickets are given out on a particular day.
Calculate the exact probability that the total number of tickets given out during a 5-day week is between 205 and
265.
Transcribed Image Text:The number of parking tickets issued in a certain city on any given weekday has a Poisson distribution with parameter 50. (Round your answers to four decimal places.) (a) Calculate the approximate probability that between 35 and 80 tickets are given out on a particular day. (b) Calculate the approximate probability that the total number of tickets given out during a 5-day week is between 205 and 265. (c) Use software to obtain the exact probabilities in (a) and (b) and compare to their approximations. Calculate the exact probability that between 35 and 80 tickets are given out on a particular day. Calculate the exact probability that the total number of tickets given out during a 5-day week is between 205 and 265.
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