Accidents recur in a factory at the rate of 2 per week. Assume that accidents ha

Question

Accidents recur in a factory at the rate of 2 per week. Assume that accidents happen randomly and independently of each other. Answer the following questions to 3 places past the decimal. a) What is the probability that there is at most 1 accident in a week? Submit Answer Tries 0/5 b) What is the probability that there are 2 accidents in a week? c) What is the probability of no accidents on a given day? Assume the factory works 7 days per week.[ d) What is the probability of there being 3 accident-free days in a week? Submit Answer Tries 0/5 Submit Answer Tries 0/5 Submit Answer Tries 0/5

Explanation / Answer

= 2

P(X = x) = e- * x / x!

a) P(X < 1) = P(X = 0) + P(X = 1)

= e-2 * 20 / 0! + e-2 * 21 / 1!

= 0.406

b) P(X = 2) = e-2 * 22 / 2! = 0.271

c) = 2/7

P(X = 0) = e-2/7 * (2/7)2 / 2! = 0.751

d) = 2

P(X = 4) = e-2 * 24 / 4! = 0.09

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