SOLUTION: If the probability that a computer will fail during the first hour of operation is 0.01, then if we turn on 100 computers, exactly one will fail in the first hour of operation. Is

Question 1198209: If the probability that a computer will fail during the first hour of operation is 0.01, then if we turn on 100 computers, exactly one will fail in the first hour of operation. Is true or False, please give me detailed solution
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
p(fail the first hour of operation ) = .01
Sample 100 computers:
n =100
The mean = np = 100(.01) = 1, simply the MEAN number of computers 0r expected number that will fail out of 100.
That exactly ONE WILL fail...probability of that happening would need to be a p = 1
I. Using a Binomial Distribution: p = .01 and n = 100
Using TI or similarly an inexpensive calculator like an Casio fx-115 ES plus
P(x=1) = binompdf(100, .01) = .3697
II. Using a Poisson Distribution approximation to the Binomial Distribution::
P(x = 1) = .3679
III. That exactly ONE WILL fail?
Can happen, WILL it happen?? probably not. FAlse is Your answer.

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