Find the indicated probability. Round to three decimal places.
-A machine has 12 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.
A) 0.927
B) 0.133
C) 0.795
D) 0.206

Question

Quizplus · Accepted Answer

The probability that the machine will be working is the probability that 3 or fewer components fail. This can be calculated using the binomial probability formula for 0, 1, 2, and 3 failures and summing these probabilities.

Find the Indicated Probability