A scientist, posted on an island in the pacific. One of the instruments have is a seismometer. Notice there is no high ground on the island, so keep an eye on it in case it warns of a larger earthquake which could trigger a Tsunami. Remember that some people think earthquakes are distributed Poisson, and on the 2400 the hour (100 day anniversary) you get your 29th earthquake sensed on the seismometer. Using the Poisson assumption, A) calculate the maximum likelihood estimate of the waiting time between quakes. (hint the rate ? is 1/mean waiting time)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 67E
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A scientist, posted on an island in the pacific. One of the instruments have is a seismometer. Notice there is no high ground on the island, so keep an eye on it in case it warns of a larger earthquake which could trigger a Tsunami.

Remember that some people think earthquakes are distributed Poisson, and on the 2400 the hour (100 day anniversary) you get your 29th earthquake sensed on the seismometer. Using the Poisson assumption,

A) calculate the maximum likelihood estimate of the waiting time between quakes.
(hint the rate ? is 1/mean waiting time) 


B) Calculate an approximate 90% confidence interval for the waiting time using the normal
approximation

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