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 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 275. (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 275.

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Chapter1: Combinatorial Analysis
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The number of parking tickets issued in a certain city on any given weekday follows a Poisson distribution with a parameter \( \mu = 50 \). (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.

[Input box for answer]

**(b)** Calculate the approximate probability that the total number of tickets given out during a 5-day week is between 215 and 275.

[Input box for answer]

**(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.

[Input box for answer]

Calculate the exact probability that the total number of tickets given out during a 5-day week is between 215 and 275.

[Input box for answer]
Transcribed Image Text:The number of parking tickets issued in a certain city on any given weekday follows a Poisson distribution with a parameter \( \mu = 50 \). (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. [Input box for answer] **(b)** Calculate the approximate probability that the total number of tickets given out during a 5-day week is between 215 and 275. [Input box for answer] **(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. [Input box for answer] Calculate the exact probability that the total number of tickets given out during a 5-day week is between 215 and 275. [Input box for answer]
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