Answer only question 3.
11.25 *41 3. When a fisherman catches a fish. It is a young one with a probability of 0.33 and it is returned to the water. On the other hand, an adult fish is kept to be eaten later. a) What is the expected number of fish caught by the fisherman before an adult fish is caught? b) What is the probability that the six fish caught is the first young fish? Suppose that the fisherman wants four Ash to eat for lunch What is the probability that the first time the fisherman can stop for lunch is immediately after the sixth fish has been caughi? 0 If the fisherman catches seven fish, what is the probability that there are sufficient fish for lunch? 4. An examination consists of 10 multiple choice questions each with five possible answers of which only one is correct. If a student answers all questions randomly, find the probability that a) exactly 6 questions are answered correctly 11 .2 +21
Answer only question 3.
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