The Exponential Distribution (Optional) · Exercise 41
A website experiences traffic during normal working hours at a rate of 12 visits per hour. Assume that the duration between visits has the exponential distribution.
(a) Find the probability that the duration between two successive visits to the website is more than 10 minutes.
(b) The top 25 percent of durations between visits are at least how long?
(c) Suppose that 20 minutes have passed since the last visit to the website. What is the probability that the next visit will occur within the next five minutes?
(d) Find the probability that fewer than seven visits occur within a one-hour period.
Its source prints no answer for this problem, so there's nothing to check against.
OpenStax, Statistics · §5.3 The Exponential Distribution (Optional) · Exercise 41
No hints for this one.
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