Suppose a friend of yours asks you to play a game. The game is the following:You have to pay your friend $25 to play the game (remember this)Your friend has a number (1 through 5) printed on each of 5 index cards as shown below: You friend shuffles these cards and places them face-down (i.e., you cannot see any of the numbers) on a table in front of you. You now are invited to turn over a card one at a time until you get the number 5. The game ends once you find the card with the number “5” You win the following amounts, based on how many cards you turned over until you find the card with the number 5: You first card turned over is “5” – you win $100 Your second card turned over is “5” – you win $50Your third card turned over is “5” – you win $20Your fourth card turned over is “5” – you win $10Your fifth card turned over is “5” – you win $5 You decide to pay $25 to play the game. However, before doing so, you are wondering about how much money you will win or lose (keep in mind it cost you $25 each time you play the game), on average, if you played this game many times. You decide to run a simulation to address this question, where a single game is considered a trial. For your simulation, run 25 trials, and record how much you won (or lost) on each trial. You must show your results for all 25 trials and the random numbers you used for each trial. Finally, based on your simulation, what is your estimate of the average amount you would win or lose per game played? Suppose a friend of yours asks you to play a game. The game is the following:You have to pay your friend $25 to play the game (remember this)• Your friend has a number (1 through 5) printed on each of 5 index cards as shownbelow:134• You friend shuffles these cards and places them face-down (i.e., you cannot seeany of the numbers) on a table in front of you.• You now are invited to tum over a card one at a time until you get the number 5.The game ends once you find the card with the number "S"• You win the following amounts, based on how many cards you turned over untilyou find the card with the number 5:- you win $100a) You first card turned over is "5"b) Your second card turned over is "5" -you win $50c) Your third card turned over is "5"d) Your fourth card turned over is "5" -you win $10e) Your fifth card turned over is "5"- you win $20- you win $5You decide to pay $25 to play the game. However, before doing so, you are wonderingabout how much money you will win or lose (keep in mind it cost you $25 each time youplay the game), on average, if you played this game many times.You decide to run a simulation to address this question, where a single game isconsidered a trial. For your simulation, run 25 trials, and record how much you won (orlost) on each trial. You must show your results for all 25 trials and the random numbersyou used for each trial. Finally, based on your simulation, what is your estimate of theaverage amount you would win or lose per game played?

Name: Suppose a friend of yours asks you to play a game. The game is the fo
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Description: Suppose a friend of yours asks you to play a game. The game is the following:You have to pay your friend $25 to play the game (remember this)Your friend has a number (1 through 5) printed on each of 5 index cards as shown below: You friend shuffle

Assuming X to represent the number of trials taken to turn a 5, the distribution for X is given by…

Suppose a friend of yours asks you to play a game. The game is the following: You have to pay your friend $25 to play the game (remember this) Your friend has a number (1 through 5) printed on each of 5 index cards as shown below: You friend shuffles these cards and places them face-down (i.e., you cannot see any of the numbers) on a table in front of you. You now are invited to turn over a card one at a time until you get the number 5. The game ends once you find the card with the number “5” You win the following amounts, based on how many cards you turned over until you find the card with the number 5: You first card turned over is “5” – you win $100 Your second card turned over is “5” – you win $50 Your third card turned over is “5” – you win $20 Your fourth card turned over is “5” – you win $10 Your fifth card turned over is “5” – you win $5 You decide to pay $25 to play the game. However, before doing so, you are wondering about how much money you will win or lose (keep in mind it cost you $25 each time you play the game), on average, if you played this game many times. You decide to run a simulation to address this question, where a single game is considered a trial. For your simulation, run 25 trials, and record how much you won (or lost) on each trial. You must show your results for all 25 trials and the random numbers you used for each trial. Finally, based on your simulation, what is your estimate of the average amount you would win or lose per game played?

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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Suppose a friend of yours asks you to play a game. The game is the following:

You have to pay your friend $25 to play the game (remember this)
Your friend has a number (1 through 5) printed on each of 5 index cards as shown below:

You friend shuffles these cards and places them face-down (i.e., you cannot see any of the numbers) on a table in front of you.
You now are invited to turn over a card one at a time until you get the number 5. The game ends once you find the card with the number “5”
You win the following amounts, based on how many cards you turned over until you find the card with the number 5:

You first card turned over is “5” – you win $100
Your second card turned over is “5” – you win $50
Your third card turned over is “5” – you win $20
Your fourth card turned over is “5” – you win $10
Your fifth card turned over is “5” – you win $5

You decide to pay $25 to play the game. However, before doing so, you are wondering about how much money you will win or lose (keep in mind it cost you $25 each time you play the game), on average, if you played this game many times.

You decide to run a simulation to address this question, where a single game is considered a trial. For your simulation, run 25 trials, and record how much you won (or lost) on each trial. You must show your results for all 25 trials and the random numbers you used for each trial. Finally, based on your simulation, what is your estimate of the average amount you would win or lose per game played?

Suppose a friend of yours asks you to play a game. The game is the following:
You have to pay your friend $25 to play the game (remember this)
• Your friend has a number (1 through 5) printed on each of 5 index cards as shown
below:
1
3
4
• You friend shuffles these cards and places them face-down (i.e., you cannot see
any of the numbers) on a table in front of you.
• You now are invited to tum over a card one at a time until you get the number 5.
The game ends once you find the card with the number "S"
• You win the following amounts, based on how many cards you turned over until
you find the card with the number 5:
- you win $100
a) You first card turned over is "5"
b) Your second card turned over is "5" -you win $50
c) Your third card turned over is "5"
d) Your fourth card turned over is "5" -you win $10
e) Your fifth card turned over is "5"
- you win $20
- you win $5
You decide to pay $25 to play the game. However, before doing so, you are wondering
about how much money you will win or lose (keep in mind it cost you $25 each time you
play the game), on average, if you played this game many times.
You decide to run a simulation to address this question, where a single game is
considered a trial. For your simulation, run 25 trials, and record how much you won (or
lost) on each trial. You must show your results for all 25 trials and the random numbers
you used for each trial. Finally, based on your simulation, what is your estimate of the
average amount you would win or lose per game played?

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