The Exponential Distribution (Optional) · Exercise 39
During the years 1998–2012, a total of 29 earthquakes of magnitude greater than 6.5 occurred in Papua New Guinea. Assume that the time spent waiting between earthquakes is exponential. Assume that the current year is 2013
(a) What is the probability that the next earthquake occurs within the next three months?
(b) Given that six months has passed without an earthquake in Papua New Guinea, what is the probability that the next three months will be free of earthquakes?
(c) What is the probability of zero earthquakes occurring in 2014?
(d) What is the probability that at least two earthquakes will occur in 2014?
Its source prints no answer for this problem, so there's nothing to check against.
OpenStax, Statistics · §5.3 The Exponential Distribution (Optional) · Exercise 39
No hints for this one.
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