New game You pay $10 and roll a die. If you get a 6, youwin $50. If not, you get to roll again. If you get a 6 thistime, you get your $10 back.a) Create a probability model for this game.b) Find the expected value and standard deviation of yourprospective winnings.c) You play this game five times. Find the expected valueand standard deviation of your average winnings.d) 100 people play this game. What’s the probability theperson running the game makes a profit?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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New game You pay $10 and roll a die. If you get a 6, you
win $50. If not, you get to roll again. If you get a 6 this
time, you get your $10 back.
a) Create a probability model for this game.
b) Find the expected value and standard deviation of your
prospective winnings.
c) You play this game five times. Find the expected value
and standard deviation of your average winnings.
d) 100 people play this game. What’s the probability the
person running the game makes a profit?

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