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Of the people passing through an airport metal detector,
Chapter 4, Problem 101E(choose chapter or problem)
Of the people passing through an airport metal detector, .5% activate it; let X = the number among a randomly selected group of 500 who activate the detector. a.? ?What is the (approximate) pmf of ? ?? b. Compute P(X = 5). c.? ?ComputeP(5 ? X)
Questions & Answers
QUESTION:
Of the people passing through an airport metal detector, .5% activate it; let X = the number among a randomly selected group of 500 who activate the detector. a.? ?What is the (approximate) pmf of ? ?? b. Compute P(X = 5). c.? ?ComputeP(5 ? X)
ANSWER:Answer Step 1 of 4 According to the given data this is poisson distribution Given n=500, p=0.005 If n value is large and p is small the binomial distribution is converted to poisson distribution Then =np=500*0.05=2.5