Question

A machine is fed with 6 independent channels that supply the necessary material. The machine needs...

A machine is fed with 6 independent channels that supply the necessary material. The machine needs at least 5 channels to function properly and each of those channels has a 3% failure probability. What is the probability that the machine will not work properly?
If instead of 6 feeding channels the machine had 7. what would be the probability that the machine would not work properly?

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

a) Probability that  the machine will not work properly is computed here as:

= 1 - Probability that the machine will work properly

= 1 - Probability that 5 or exactly 6 of the machines work properly.

Therefore 0.0125 is the required probability here.

b) The same probability here is computed as:

= 1 - Probability that 5 or exactly 6 or exactly 7 of the machines work properly.

Therefore 0.000863 is the required probability in this case.

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