grain elevator plosions due to spontaneous combusStion has been 10 in the past 25 years for Great West Grain, a company with over a thou- sand grain elevators. Explosions occur randomly and independently. a) From these data make an estimate of the mean rate of occurrence of explo- sions in a year. b) On the basis of this estimate, what is the probability that there will be no explosions in the next five years? c) If there is at least one explosion a year for three years in a row, the insurance rates paid by the elevator company will double. What is the probability that this will happen over the next three years? Use the estimate from part (a).

grain elevator plosions due to spontaneous combusStion has been 10 in the past 25 years for Great West Grain, a company with over a thou- sand grain elevators. Explosions occur randomly and independently. a) From these data make an estimate of the mean rate of occurrence of explo- sions in a year. b) On the basis of this estimate, what is the probability that there will be no explosions in the next five years? c) If there is at least one explosion a year for three years in a row, the insurance rates paid by the elevator company will double. What is the probability that this will happen over the next three years? Use the estimate from part (a).

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The number of grain elevator explosions due to spontaneous combustion has
been 10 in the past 25 years for Great West Grain, a company with over a thou-
sand grain elevators. Explosions occur randomly and independently.
a) From these data make an estimate of the mean rate of occurrence of explo-
sions in a year.
b) On the basis of this estimate, what is the probability that there will be no
explosions in the next five years?
c) If there is at least one explosion a year for three years in a row, the insurance
rates paid by the elevator company will double. What is the probability that
this will happen over the next three years? Use the estimate from part (a).

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