The number of parking tickets issued in a certain city on any given weekday has a Poisson distribution with parameter μ = 50. (Round your answers to four decimal places.) (a) Calculate the approximate probability that between 35 and 90 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 215 and 285. (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 90 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 215 and 285.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
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please solve a, b and c.

The number of parking tickets issued in a certain city on any given weekday has a Poisson distribution with parameter μ = 50.
(Round your answers to four decimal places.)
(a) Calculate the approximate probability that between 35 and 90 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 215 and 285.
(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 90 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 215 and 285.
Transcribed Image Text:The number of parking tickets issued in a certain city on any given weekday has a Poisson distribution with parameter μ = 50. (Round your answers to four decimal places.) (a) Calculate the approximate probability that between 35 and 90 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 215 and 285. (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 90 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 215 and 285.
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