A large company has an inspection system for the batches of small compressors purchased from vendors. A batch typically contains 15 compressors. In the inspection system a random sample of 5 is selected and all are tested. Suppose there arc 2 faulty compressors in the batch of 15.

(a) What, is the probability that for a given sample there will be I faulty compressor?

(b) What is the probability that inspection will discover both faulty compressors?