A pond holds 4 fish. Each day a fisherman goes fishing and his probabiUty of catching k = 0,1,2,3,4 fish that day follows a binomial PDF with p = 1/2. How many days should he plan on fishing so that...

A pond holds 4 fish. Each day a fisherman goes fishing and his probabiUty of catching k = 0,1,2,3,4 fish that day follows a binomial PDF with p = 1/2. How many days should he plan on fishing so that the probability of his catching all 4 fish exceeds 0.9? Note that initially, i.e., at n = 0, all 4 fish are present. Hint: You will need a computer to find the solution.

Jan 03, 2022
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