SOLUTION: A machine has 7 identical components which function independently. The probability that a component will fail is 0.2. The machine will stop working if more than three components fa

Question 1136999: A machine has 7 identical components which function independently. The probability that a component will fail is 0.2. The machine will stop working if more than three components fail. Find the probability that the machine will be working.
Answer by ikleyn(52864) (Show Source): You can put this solution on YOUR website!
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The probability that the machine will be working is the probability that NO MORE THAN 3 component fail


    P = P(0) + P(1) + P(2) + P(3) = 


       =  +  +  +  = 


       =  = 0.9667 = 96.67%   (approximately).    ANSWER

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