A pair of tetrahedral dice are rolled (see Exercise 30.8). Let X be the sum of the twonumbers and let y be the product.Find E(X) and E(Y).You play a game in which you roll a die and you win (in dollars) the square of thenumber on the die. For example, if you roll a 5, then you win $25. On average, howmuch money would you expect to receive per play of this game?

From the above given data the following solution is provided below:

Answered: A pair of tetrahedral dice are rolled…

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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Your friend makes up a game to play over Zoom during the shelter in place, and asks if you would like to play. The rules are: You win $8 if you roll a 6. You win $4 if you roll a 4 or 5 Otherwise, you have to pay $10. a. Complete the PDF Table. List the X values, where X is the profit, from smallest to largest. The first value is filled in for you. Round to 4 decimal places where appropriate. Probability Distribution Table X P(X) -10 b. Find the expected profit. $ (Round to the nearest cent)c. Interpret the expected value. You will win this much if you play a game. This is the most likely amount of money you will win. If you play many games, on average, you will likely win, or lose if negative, close to this amount.

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