H3.

5. Of the one million squirrels on MIT's campus. most are good-natured. But one hundred of them are pure evil! An enterprising student in Course 6 develops an \"Evil Squirrel Alarm" which she offers to sell to MIT for a passing grade. MIT decides to test the reliability of the alarm by conducting trials. When presented with an evil squirrel, the alarm goes off 99% of the time. When presented with a good-natured squirrel, the alarm goes off 1% of the time. (a) If a squirrel sets off the alarm, what is the probability that it is evil? (b) Should MIT co-opt the patent rights and employ the system