Question

in a certain lake 30% of the fish are thrown back because they are too small. Consider catching 20 fish from the lake. Assume that the fish you caught can be considered a random sample from the very large number of fish in the lake. does this represent a binomial setting

Answer 1

Binomial probability distribution concept & application, example

Explanation:

Yes, this represents a binomial setting. As, it is used for finding probability of - particular number of success outcomes , from repetitive or multiple events.

Here

• Success {Event P} ie small fish, with prob = 30% = 0.3 .Failure {Event Q} ie large fish, with prob = 70% = 0.7
• Number of trials = 20. Let r be number of small fishes out of 20 fishes.

Binomial probability = N c r . (P)^r . (Q)^ (n-r)

Ex : P( 5 small fish out of 20) = 20c5 (0.30)^5 (0.70)^15