Suppose the given country road has large defects which are distributed along its length according to...

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Suppose the given country road has large defects which aredistributed along its length according to Poisson distribution withan average of 2 defects per mile. It takes the crew repairing thesedefects one full day to fix one of them. They move along the roadand repair the defects as they are found. a) If the road is 10miles long what is the probability they will be done in three weeks(15 working days)? b) What is the probability they will get atleast to the middle of the road (i.e. advance by at least 5 miles)by the end of the second week (after 10 working days)? c) What isthe mean and standard deviation of the length of the road they willcover by the end of the second week?

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4.4 Ratings (563 Votes)

aLet X be the number of defects in k milesAverage number of defects in k miles 2kThen X Poisson 2kFor k 10 milesX Poisson 20Probability they will be done in See Answer

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