Accidents recur in a factory at the rate of 3 per week. Assume that accidents ha

Question

Accidents recur in a factory at the rate of 3 per week. Assume that accidents happen randomly and independently of each other Answer the following questions to 3 places past the decima a) What is the probability that there is at most 1 accident in a week? Submit Answer Tries 0/2 b) What is the probability that there are 2 accidents in a week? Submit Answer Tries 0/2 c) What is the probability of no accidents on a given day? Assume the factory works 7 days per week. Submit Answer Tries 0/2 d) What is the probability of there being 3 accident-free days in a week? Submit Answer Tries 0/2

Explanation / Answer

ANSWER :-

a)

probability that there is at most 1 accident in a week is

Mean = 3*1 = 3

Poissioncdf (3,1) = 0.199

b)

probability that there are 2 accidents in a week is

poissonpdf(3,2) = 0.224

c)

probability of no accidents on a given day. Here the factory works 7 days per week is

Mean = 3/7 = 0.4285

poissonpdf(3/7,0) = 0.651

d)

probability of there being 3 accident-free days in a week is

binompdf(7,0.651,3) = 0.1432

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