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# Quiz 5 answer key Bb - NAME_ANSWER KEY TA OM 210...

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NAME _ANSWER KEY ______________________________________ TA _______________ OM 210: Statistical Analysis for Management Quiz 5: Discrete Probability Distributions Directions: For the questions below, write your answers to each question in the spaces provided on the next page. Report all probabilities as decimals rounded to four (4) decimal places. Report expected values rounded to two (2) decimal places. Report money rounded to the nearest cent. Use the backs of these pages for your calculations. For a particular volunteer fire and rescue company operating 24 × 7 (= 24 hours a day, 7 days a week), statistics show that 1 call is expected to come in, on average, every 40 minutes. This is a Poisson problem. DEF: Let X be the discrete r.v. that counts the number of calls that are received during the specified interval of time, with values x = 0 (none), 1, 2, …. Given: μ = 1 call/40 min × 60 min/1 hour = 1.5 calls/hour Assume X is Poisson. Then ( 29 ! x e | x X Prob x μ = μ = μ - with μ = 1.4 calls per day 1. What is the chance that an hour will go by without receiving any calls?

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