You are about to purchase a washing machine. a) Assume that failures occur at ra

Question

You are about to purchase a washing machine.

a) Assume that failures occur at random, and the number of failures can be modelled by a Poisson distribution. Past data shows that a typical Brand A washing machine has two failures in 5 years. What is the probability that a typical Brand A washing machine has no failure in three years?

b) Suppose you have purchased a Brand A washing machine and it has been operating for 2 years without any failure. What is the probability that your washing machine will continue operating for another 2 years?

Explanation / Answer

a) Mean (lamda) = 3 * 2/5 = 1.2

Pr(X=0) = 1.2^0

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