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A large lake is stocked with 30% catfish. You go out on the lake to fish, and each fish you catch that is not a catfish is thrown back into the lake. (Assume that each time you catch a fish, it is independent of the other fish you have caught.) Let X be the number of tries it takes until you catch your first catfish.

(a) What is the average (expected) value for X?

(b) What is the probability that X is at most 3?

(c) What is the probability that X is more than 7?

(c) Suppose that the first 7 fish you caught were not catfish. What is the probability that the next 7fish will also not be catfish?

(1 pt) A large lake is stocked with 30% catfish. You go out on the lake to fish, and each fish you catch that is not a catfis

math   Statistics-And-Probability   
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Answer #1

elinexNo s cattish alees wnti cangr Paotali W hal catush is eaugh 30/ 30 4Each Hish is Geo (0.30a 30 ,2, 3 3O EK yo 30 3. 33 P(X3) 2 =0.70 O.30 t o 70 030 t O 70 O 30 657 Px-2 tx3) x-4) t P(xs) + P (x-6 1-1e1 1- 30 + o 70

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