SOLUTION: there is a machine turned on every day and each time it turned on the probability of the machine working properly is 95% . find out the probability of this machine working properly

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Question 390589: there is a machine turned on every day and each time it turned on the probability of the machine working properly is 95% . find out the probability of this machine working properly ten days in a row.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi,
Note: The probability of x successes in n trials is:
P = nCx* p%5Ex%2Aq%5E%28n-x%29 where p and q are the probabilities of success and failure respectively.
In this case p= .95 & q = .05
nCx = n%21%2F%28x%21%28n-x%21%29%29
P(working properly for 10 days in row) = .95^10 = .5987