3. When a sherman catches a fish, it is a young one with a probability of (133 and it is [1.25 returned to the water. [in the other hand1 an adult sh is kept to be eaten later. *4] a} What is the expected number of sh caught by the shetruan before an adult fish is caught? b) What is the probability that the six sh caught is the first young fish? Suppose that the fisherman wants four fish to eat for lunch. c) What is the probability that tlte rst time the shermen can stop for lunch is immediately aect the sixth sh has been caught? d} If the shennan catches seven sh, what is the probability that there are sufcient fish for hutch