Evan, James, and Burt are fishing in a lake that has 200 fish. They are going to be fishing for three hours. What is the probability that th

Question

Evan, James, and Burt are fishing in a lake that has 200 fish. They are going to be fishing for three hours. What is the probability that they each will catch 3 fish?

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Đan Thu 5 years 2021-08-03T17:21:50+00:00 1 Answers 13 views 0

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  1. diemthu
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    2021-08-03T17:23:23+00:00
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    Answer:

    The probability that they each will catch 3 fish is 0.000063956

    Step-by-step explanation:

    The hyper geometric distribution is used to solve this as it has a population, a sample , number of successes  for both the population and sample.

    Here

    Population size= N =200

    Sample size= n =9= (3*3)

    Number of successes in population = k = 3 hours

    Number of successes in sample = x= 3

    Applying the hyper geometric distribution

    P (x=3) = kCx *(N-k) C (n-x)/ N Cn

       = 3 C 3 * 197 C 6/ 200 C 9

        =0.000063956

    The probability that they each will catch 3 fish is 0.000063956

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