5. Suppose you have a fair die. (Namely, when the die is tossed, it is equally likely that any of the six numbers-1, 2, . . . , 6–will appear.) You are playing a game where, if a 1 or 2 appears, you win $2. If a 3 or 4 appears, you win $1. If a 5 appears, you do not win or lose any money. Finally, if a 6 appears, you lose $6. (a) Find the expectation of this game. (b) Find the variance of this game. (c) If the game is played thirty times what is the probability of winning moer than $10? Use the central limit theorem to approximate this probability. Use the table of values for the standard normal distribution on the last page of this exam. Try not to round anything until you get to the table.

5. Suppose you have a fair die. (Namely, when the die is tossed, it is equally likely that any of the six numbers-1, 2, . . . , 6–will appear.) You are playing a game where, if a 1 or 2 appears, you win $2. If a 3 or 4 appears, you win $1. If a 5 appears, you do not win or lose any money. Finally, if a 6 appears, you lose $6. (a) Find the expectation of this game. (b) Find the variance of this game. (c) If the game is played thirty times what is the probability of winning moer than $10? Use the central limit theorem to approximate this probability. Use the table of values for the standard normal distribution on the last page of this exam. Try not to round anything until you get to the table.

Name: 5. Suppose you have a fair die. (Namely, when the die is tossed, it i
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Description: 5. Suppose you have a fair die. (Namely, when the die is tossed, it is equally likely that any of the sixnumbers-1, 2, . .6–will appear.) You are playing a game where, if a 1 or 2 appears, you win $2. If a3 or 4 appears, you win $1. If a 5 appears,

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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