This post covers Introduction to probability from Statistics for Engineers and Scientists by William Navidi.

Exercises

• Twenty-five automobiles have been brought in for service. Fifteen of them need tuneups and ten of them need new brakes. Nine cars are chosen at random tobe worked on. What is the probability that three of them need new brakes?

Solution: 0.2940

• Ten items are to be sampled from a lot of $60$. If more than one is defective, the lot will be rejected. Find the probability that the lot will be rejected in each of the following cases.

  a. The number of defective items in the lot is $5$.

  b. The number of defective items in the lot is $10$.

  c. The number of defective items in the lot is $20$.

Solution: (a) 0.1904 (b) 0.5314 (c) 0.9162