system shutdown once every 75 days on average. probability of a least one shutdown in the next year

Question

A plant pollution-control system shutdown once every 75 days on average. What is the probability of a least one shutdown in the next year? Give the answer to one decimal place.

Answer 1

1/75 = x/365

365/75 = x

4.8666 ≈ x

 

The probability, to one decimal place, is 4.9.