Question

the
computer that controls a banks 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 more than 5 times

Answer #1

We are given, mean = 0.4 times per day.

We have to find weekly probability.

So, Weekly mean = 0.4*7 = 2.8

We need to use Poisson distribution with mean = 2.8

We have to find P( x > 5 )

P( x > 5 ) = 1 - P( x <= 5 )

Using Excel function , =POISSON.DIST( x , mean , 1 )

P( x <= 5 ) = POISSON.DIST( 5 , 2.8 , 1 ) = 0.93489

So, P( x > 5 ) = 1 - 0.93489 = **0.06511**

*Answer: The probability that, in any 7-day week, the
computer will crash more than 5 time is 0.06511*

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