The number of parking tickets issued in a certain city on any given weekday has a Poisson

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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. What is the approximate probability that

a. Between 35 and 70 tickets are given out on a particular day? [Hint: When is large, a Poisson rv has approxi- mately a normal distribution.]

b. The total number of tickets given out during a 5-day week is between 225 and 275?

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