(b) Calculate the approximate probability that the total number of tickets given out during a 5-day week is between 185 and 265. X

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HINT! for part b  The answer is not 0.8289, 0.8264, 0.8286, or 0.8829. Please Help.

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 70 tickets are given out on a particular day.
0.9838
(b) Calculate the approximate probability that the total number of tickets given out during a 5-day week is between 185 and 265.
X
(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 70 tickets are given out on a particular day.
0.9862
Calculate the exact probability that the total number of tickets given out during a 5-day week is between 185 and 265.
0.8368
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 70 tickets are given out on a particular day. 0.9838 (b) Calculate the approximate probability that the total number of tickets given out during a 5-day week is between 185 and 265. X (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 70 tickets are given out on a particular day. 0.9862 Calculate the exact probability that the total number of tickets given out during a 5-day week is between 185 and 265. 0.8368
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