When a fisherman catches a fish (either young or adult), it is a young one with a probability of 0.37 and it is returned to the water. O the other hand, an adult fish is kept to be eaten later. (Round your answers to 4 decimal places, if needed.) (a) What is the expected number of fish caught by the fisherman before an adult fish is caught? The standard deviation? Expected number: Standard deviation: (b) What is the probability that the 6th fish caught is the first young fish? Answer: Suppose that the fisherman wants three fish to eat for lunch. (c) What is the probability that the first time the fisherman can stop for lunch is immediately after the 6th fish has been caught? Answer: (d) What is the expected number of fish caught so that there are sufficient fish for lunch? The standard deviation? Expected number: Standard deviation: (e) If the fisherman catches eight fish, what is the probability that there are sufficient fish for lunch? Answer:

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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When a fisherman catches a fish (either young or adult), it is a young one with a probability of 0.37 and it is returned to the water. On
the other hand, an adult fish is kept to be eaten later. (Round your answers to 4 decimal places, if needed.)
(a) What is the expected number of fish caught by the fisherman before an adult fish is caught? The standard deviation?
Expected number:
Standard deviation:
(b) What is the probability that the 6th fish caught is the first young fish?
Answer:
Suppose that the fisherman wants three fish to eat for lunch.
(c) What is the probability that the first time the fisherman can stop for lunch is immediately after the 6th fish has been caught?
Answer:
(d) What is the expected number of fish caught so that there are sufficient fish for lunch? The standard deviation?
Expected number:
Standard deviation:
(e) If the fisherman catches eight fish, what is the probability that there are sufficient fish for lunch?
Answer:
Transcribed Image Text:When a fisherman catches a fish (either young or adult), it is a young one with a probability of 0.37 and it is returned to the water. On the other hand, an adult fish is kept to be eaten later. (Round your answers to 4 decimal places, if needed.) (a) What is the expected number of fish caught by the fisherman before an adult fish is caught? The standard deviation? Expected number: Standard deviation: (b) What is the probability that the 6th fish caught is the first young fish? Answer: Suppose that the fisherman wants three fish to eat for lunch. (c) What is the probability that the first time the fisherman can stop for lunch is immediately after the 6th fish has been caught? Answer: (d) What is the expected number of fish caught so that there are sufficient fish for lunch? The standard deviation? Expected number: Standard deviation: (e) If the fisherman catches eight fish, what is the probability that there are sufficient fish for lunch? Answer:
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