The computer that controls a bank's automatic teller machine crashes a mean of 0.4 times per...
The computer that controls a bank's automatic teller machine crashes a mean of 0.4 times per day. What is the probability that, in any seven-day week, the computer will crash at least 4 times? Round your answer to four decimal places.
Homework Answers
= 0.4 * 7 = 2.8
It is a Poisson distribution.
P(X > 4) = 1 - P(X < 4)
= 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3))
= 1 - (e^(-2.8) * (2.8)^0/0! + e^(-2.8) * (2.8)^1/1! + e^(-2.8) * (2.8)^2/2! + e^(-2.8) * (2.8)^3/3!)
= 1 - 0.6919
= 0.3081
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