expected value and variance of a participant’s net earnings

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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In a fishing event, a small lake is populated with 75 trouts, among which 25 are tagged. Each participant is allowed to capture 5 fish during the day (the fish are not put back into the lake). For each tagged fish, the participant wins 10$, and for each non-tagged fish, the participant wins 2$. However, it costs 25$ to participate in this event. Find the expected value and variance of a participant’s net earnings. (Assume for simplicity that there’s only one participant, so nobody else is fishing at the same time. 

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