1. 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.

Group of answer choices

0.795

0.133

0.206

0.927

2. Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial. Round to three decimal places. n=6 x=3 p=1/6

Group of answer choices

0.054

0.029

0.032

0.015

3. Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial. Round to three decimal places. n=4 x=3 p=1/6

Group of answer choices

0.015

0.023

0.012

0.004