My Notes Ask Yo An article suggests that a Poisson process can be used to repres

Question

My Notes Ask Yo An article suggests that a Poisson process can be used to represent the ocourrence of structural loads over time. Suppose the mean time between occurrences of loads is 0.5 year. (a) How many loads can be expected to occur during a 4-year period? loads (b) What is the probability that more than ten loads occur during a 4-year period? (Round your arswer to three decimal places.) 0.184 (c) How long must a time period be so that the probability of no loads occurring during that period is at most 0.27 (Round your answer to four decimal places.) this question.

Explanation / Answer

c) P(X=0) <=0.2

mu >1.6185

Time period = 1.6185/0.5 = 3.237 years

c) P(X=0) <=0.2mu >1.6185±ime period = 1.6185/0.5 = 3.237 years

c) P(X=0) <=0.2mu >1.6185±ime period = 1.6185/0.5 = 3.237 yearsc) P(X=0) <=0.2mu >1.6185±ime period = 1.6185/0.5 = 3.237 yearsc) P(X=0) <=0.2mu >1.6185±ime period = 1.6185/0.5 = 3.237 yearsc) P(X=0) <=0.2mu >1.6185±ime period = 1.6185/0.5 = 3.237 yearsc) P(X=0) <=0.2mu >1.6185±ime period = 1.6185/0.5 = 3.237 years

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