A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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10.6 Expected Value Worksheet
Please answer each question below regarding expected value. You must show all work to receive credit.
Papers submitted with no work attached will earn a grade of 0. This is an independent assignment and
should be completed on your own.
Write the formula for calculating expected value here:
1.
A dice game involves rolling two dice. If the sum of the two numbers rolled is 2, 3, 4, 10, 11, or
12, you win $5. If the sum is 5, 6, 7, 8, or 9, you lose $5. What is the expected value for 1 game?
2.
3.
An adventurous aardvark is a card shark and gambler. He offers to let you play in a game with
him. To play, you must pay him $2. If you pick a spade, you win $9. What is the expected value
for you if you play this game with the aardvark?
Your company plans to invest in a particular project. There is a 35% chance that you will lose
$30,000, a 40% chance that you will break even, and a 25% chance that you will make $55,000.
Based solely on this information, should your company plan to invest or bail? Show your work to
explain your answer.
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Transcribed Image Text:10.6 Expected Value Worksheet Please answer each question below regarding expected value. You must show all work to receive credit. Papers submitted with no work attached will earn a grade of 0. This is an independent assignment and should be completed on your own. Write the formula for calculating expected value here: 1. A dice game involves rolling two dice. If the sum of the two numbers rolled is 2, 3, 4, 10, 11, or 12, you win $5. If the sum is 5, 6, 7, 8, or 9, you lose $5. What is the expected value for 1 game? 2. 3. An adventurous aardvark is a card shark and gambler. He offers to let you play in a game with him. To play, you must pay him $2. If you pick a spade, you win $9. What is the expected value for you if you play this game with the aardvark? Your company plans to invest in a particular project. There is a 35% chance that you will lose $30,000, a 40% chance that you will break even, and a 25% chance that you will make $55,000. Based solely on this information, should your company plan to invest or bail? Show your work to explain your answer.
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