Someone claims that the waiting time, in minutes, between hits at a certain website has the exponential distribution with parameter λ = 0.990. Let X be the waiting time until the next hit.   1. If the claim is true, what is P(X ≥ 5)? (Round the final answer to four decimal places.) 2. Based on the answer to P(X ≥ 5), if the claim is true, is five minutes an unusually long time to wait? (Yes or No) 3. If you waited five minutes until the next hit occurred, would you still believe the claim? Explain. (Yes or No)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
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Someone claims that the waiting time, in minutes, between hits at a certain website has the exponential distribution with parameter λ = 0.990. Let be the waiting time until the next hit.

 

1. If the claim is true, what is P(X ≥ 5)? (Round the final answer to four decimal places.)

2. Based on the answer to P(X ≥ 5), if the claim is true, is five minutes an unusually long time to wait? (Yes or No)

3. If you waited five minutes until the next hit occurred, would you still believe the claim? Explain. (Yes or No)

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