2. Someone claims that the waiting time, in minutes, between hits at a certain website has an exponential distribution with parameter λ = 1. a. Let X be the waiting time until the next hit. If the claim is true, what is P(X ≥ 5)? b. Based on the answer to part (a), if the claim is true, is five minutes an unusually long time to wait? Explain.

2. Someone claims that the waiting time, in minutes, between hits at a certain website has an exponential distribution with parameter λ = 1. a. Let X be the waiting time until the next hit. If the claim is true, what is P(X ≥ 5)? b. Based on the answer to part (a), if the claim is true, is five minutes an unusually long time to wait? Explain.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.3: Special Probability Density Functions

Problem 26E

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Question

2. Someone claims that the waiting time, in minutes, between hits at a certain website has an
exponential distribution with parameter λ = 1.
a. Let X be the waiting time until the next hit. If the claim is true, what is P(X ≥ 5)?
b. Based on the answer to part (a), if the claim is true, is five minutes an unusually long
time to wait? Explain.

Expert Solution