Accidents recur in a factory at the rate of 3 per week. Assume that accidents ha
ID: 3329237 • Letter: A
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 0/2Explanation / 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