In a lake containing 5 000 fish, 800 are catfish and the remaining are tilapia. A fisherman uses a net that catches 50 fish at random without replacement.

(a) Compute the expected number of catfish in the catch and the standard deviation.

(b) Based on the results, decide whether catching at least 12 catfish would be considered unusually high (i.e., more than one standard deviation above the mean).

Question

In a lake containing 5 000 fish, 800 are catfish and the remaining are tilapia. A fisherman uses a net that catches 50 fish at random without replacement.

(a) Compute the expected number of catfish in the catch and the standard deviation.

(b) Based on the results, decide whether catching at least 12 catfish would be considered unusually high (i.e., more than one standard deviation above the mean).

Accepted Answer

Expected = 8 catfish; SD ≈ 2.58; catching ≥12 catfish is unusually high

Neco 2018 Agricultural Science Question 50

Answer Options

About This Question

Master the Exam!