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6.31. The exponential distribution can be used to solve Poisson-type problems in which the intervals are...

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Statistics

6.31. The exponential distribution can be usedto solve Poisson-type problems in which the intervals are not time.The Air Travel Consumer Report published by the U.S. Department ofTransportation reported that in a recent year, Virgin America ledthe nation in fewest occurrences of mishandled baggage, with a meanrate of 0.95 per 1,000 passengers. Assume that mishandled baggageoccurrences are Poisson distributed. Using the exponentialdistribution to analyze this problem, determine the average numberof passengers between occurrences. Suppose baggage has just beenmishandled.

  1. What is the probability that at least 500 passengers will havetheir baggage handled properly before the next mishandlingoccurs?
  2. What is the probability that the number will be fewer than 200passengers

Book says answers are

.μ = 1052.6

a..5908

b..1899 but how?

Answer & Explanation Solved by verified expert
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We know that the number of occurrence of events between twoPoisson process follows exponential distributionRate 0951000 per    See Answer
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