Statistics and Probability

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Difficult

Binomial Probability Computation (Hard)

STATS-B41AKF

Suppose a production plant has $20$ machines in operation. In any given day the probability that a machine breaks down is $.02$. If more than 2 machines break down in a day the plant will be unable to meet the day's production quota.

What is the probability that the plant will miss its production quota in more than 2 days in a non-leap year?

A

$0.0071$

B

$0.7479$

C

$0.2521$

D

$0.48$

E

$0.9929$

F

Cannot be determined from the information provided.