Question

20.

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.
(1 point)
O 0.133
00.795
00.206
00.927

Answer 1

`\sum^(3)_(n=0) \binom{12}{n}(0.8)^(12-n)(0.2)^(n) \approx \boxed{0.795}`

The machine will work if 0, 1, 2, or 3 components fail.

This probability is