phone calls arrive at the rate of 30 per hour at the desk for regional airways...

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phone calls arrive at the rate of 30 per hour at the desk for regional airways...

phone calls arrive at the rate of 30 per hour at the desk for regional airways 1) compute t he probability of recieving 2 calls in a 5 minute interval of time 2) compute the probality of recieving exactly 8 calls in 15 minutes

math Statistics-And-Probability

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Answer 1

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Answer #1

phone calls arrive at the rate of 30 per hour

part 1)

X :- Number of calls arrived.

X ~ P(λ 5/60 * 30 = 2.5)

P(X = 2)-(e- 2.5 (2.5)2)/2! = 0.2565

Part 2)

X ~ P(λ-15/60 * 30-75)

PIX = 8) = (e-1.5(7.5))/8! = 0.1373

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Answer 2

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