**Exercise 3.28.** There are five closed boxes on a table. Three of the boxes have nice prizes inside. The other two do not. You open boxes one at a time until you find a prize. Let $ X $ be the number of boxes you open.(a) Find the probability mass function of $ X $.(b) Find $ E[X] $.(c) Find $ \text{Var}(X) $.(d) Suppose the prize inside each of the three good boxes is $100, but each empty box you open costs you $100. What is your expected gain or loss in this game?**Hint.** Express the gain or loss as a function of $ X $.

a) Let X represent the number of boxes you open until you find a prize.P(X=1) is the probability…

Answered: Exercise 3.28. There are five closed…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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