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.
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.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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please solve a, b and c.
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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