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Stat 265 Unit 4 Practice Problems Mike Kowalski 32. Calls come into a police emergency center according to a Poisson distribution at a rate of

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Stat 265 Unit 4 Practice Problems Mike Kowalski 32. Calls come into a police emergency center according to a Poisson distribution at a rate of 10 per houn a. What is the probability that 15 minutes will elapse before the first call comes in? b. What is the probability that starting at any given time a call will not arrive during the next 15 minutes? What is the probability that more than 1.5 minutes will elapse between the second and third calls? c. What is the expected amount of time to wait until the 2"d customer arrives? d. What is the probability that the first two customers will arrive in less than 10 minutes? 33. The percentage of impurities] batch in a chemical product is a random variable with density function: 1912(1y , 0

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