Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $13. If youroll a 3, 4 or 5, you win $5. Otherwise, you pay $5.a. Complete the PDF Table. List the X values, where X is the profit, from smallest to largest. Round to 4decimal places where appropriate.Probability DistributionTableP(X)b. Find the expected profit. $(Round to the nearest cent)c. Interpret the expected value.O You will win this much if you play a game.O If you play many games you will likely win on average very dose to $3.00 per game.O This is the most likely amount of money you will win.d. Based on the expected value, should you play this game?O Yes, because you can win $13.00 which is greater than the $5.00 that you can lose.O Yes, since the expected value is positive, you would be very likely to come home with more money ifyou played many games.O No, since the expected value is negative, you would be very likely to come home with less money ifyou played many games.O No, this is a gambling game and it is always a bad idea to gamble.homeendinseprt scFIDF9

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Description: Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $13. If youroll a 3, 4 or 5, you win $5. Otherwise, you pay $5.a. Complete the PDF Table. List the X values, where X is the profit, from smallest t

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Probability

Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $13. If you roll a 3, 4 or 5, you win $5. Otherwise, you pay $5.

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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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.

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Question

Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $13. If you
roll a 3, 4 or 5, you win $5. Otherwise, you pay $5.
a. Complete the PDF Table. List the X values, where X is the profit, from smallest to largest. Round to 4
decimal places where appropriate.
Probability Distribution
Table
P(X)
b. Find the expected profit. $
(Round to the nearest cent)
c. Interpret the expected value.
O You will win this much if you play a game.
O If you play many games you will likely win on average very dose to $3.00 per game.
O This is the most likely amount of money you will win.
d. Based on the expected value, should you play this game?
O Yes, because you can win $13.00 which is greater than the $5.00 that you can lose.
O Yes, since the expected value is positive, you would be very likely to come home with more money if
you played many games.
O No, since the expected value is negative, you would be very likely to come home with less money if
you played many games.
O No, this is a gambling game and it is always a bad idea to gamble.
home
end
inse
prt sc
FID
F9

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