Keisha is playing a game in which she spins a spinner with 6 equal-sized slices numbered 1 through 6. The spinner stops on a numbered slice at random.This game is this: Keisha spins the spinner once. She wins $1 if the spinner stops on the number 1, $3 if the spinner stops on the number 2, $5 if the spinnerstops on the number 3, and $7 if the spinner stops on the number 4. She loses $1.25 if the spinner stops on 5 or 6.(a) Find the expected value of playing the game.| dollars(b) What can Keisha expect in the long run, after playing the game many times?O Keisha can expect to gain money.She can expect to win dollars per spin.O Keisha can expect to lose money.She can expect to lose dollars per spin.O Keisha can expect to break even (neither gain nor lose money).Submit AssignmeContinueO 2021 McGraw Hill LLC. All Rights Reserved. Terms of Use I Privacy Center | Accessibili2 3°C Nubladoaquí para buscar

Here Keisha spins a spinner with 6 equal-sized slices numbered 1 through 6. Keisha wins $1 if the…

Answered: Keisha is playing a game in which she…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Raina is playing a game in which she spins a spinner with 6 equal-sized slices numbered 1 through 6. The spinner stops on a numbered slice at random. This game is this: Raina spins the spinner once. She wins $1 if the spinner stops on the number 1, $3 if the spinner stops on the number 2, $5 if the spinner stops on the number 3, and $7 if the spinner stops on the number 4. She loses $8 if the spinner stops on 5 or 6. (If necessary, consult a list of formulas.) (a) Find the expected value of playing the game. dollars (b) What can Raina expect in the long run, after playing the game many times? O Raina can expect to gain money. She can expect to win dollars per spin. O Raina can expect to lose money. She can expect to lose dollars per spin. O Raina can expect to break even (neither gain nor lose money). Submit O
Tony is playing a game in which he spins a spinner with 6 equal-sized slices numbered 1 through 6. The spinner stops on a numbered slice at random. This game is this: Tony spins the spinner once. He wins $1 if the spinner stops on the number 1, $3 if the spinner stops on the number 2, $5 if the spinner stops on the number 3, and $7 if the spinner stops on the number 4. He loses $8 if the spinner stops on 5 or 6. (a) Find the expected value of playing the game. dollars (b) What can Tony expect in the long run, after playing the game many times? O Tony can expect to gain money. He can expect to win dollars per spin. O Tony can expect to lose money. He can expect to lose dollars per spin. O Tony can expect to break even (neither gain nor lose money). S ?
Es Hans is playing a game in which he spins a spinner with 6 equal-sized slices numbered 1 through 6. The spinner stops on a numbered slice at random. This game is this: Hans spins the spinner once. He wins $1 if the spinner stops on the number 1, $3 if the spinner stops on the number 2, $5 if the spinner stops on the number 3, and $7 if the spinner stops on the number 4. He loses $1.25 if the spinner stops on 5 or 6. (If necessary, consult a list of formulas.) (a) Find the expected value of playing the game. || dollars (b) What can Hans expect in the long run, after playing the game many times? O Hans can expect to gain money. He can expect to win | dollars per spin. O Hans can expect to lose money. He can expect to lose | dollars per spin. Hans can expect to break even (neither gain nor lose money).
Chang is playing a game in which he spins a spinner with 6 equal-sized slices numbered 1 through 6. The spinner stops on a numbered slice at random. This game is this: Chang spins the spinner once. He wins $1 if the spinner stops on the number 1, $3 if the spinner stops on the number 2, $5 if the spinner stops on the number 3, and $7 if the spinner stops on the number 4. He loses $1.25 if the spinner stops on 5 or 6. (a) Find the expected value of playing the game.___ dollars (b) What can Chang expect in the long run, after playing the game many times?
Lisa is playing a game in which she spins a spinner with 6 equal-sized slices numbered 1 through 6. The spinner stops on a numbered slice at random. This game is this: Lisa spins the spinner once. She wins $1 if the spinner stops on the number 1, $4 if the spinner stops on the number 2, $7 if the spinner stops on the number 3, and $10 if the spinner stops on the number 4. She loses $11 if the spinner stops on 5 or 6. (a) Find the expected value of playing the game. | dollars (b) What can Lisa expect in the long run, after playing the game many times? O Lisa can expect to gain money. She can expect to win dollars per spin. O Lisa can expect to lose money. She can expect to lose dollars per spin. O Lisa can expect to break even (neither gain nor lose money).
Diana is playing a game in which she spins a spinner with 6 equal-sized slices numbered 1 through 6. The spinner stops on a numbered slice at random. This game is this: Diana spins the spinner once. She wins $1 if the spinner stops on the number 1, $4 if the spinner stops on the number 2, $7 if the spinner stops on the number 3, and $10 if the spinner stops on the number 4. She loses $8.75 if the spinner stops on 5 or 6. (If necessary, consult a list of formulas.) (a) Find the expected value of playing the game. O pesos (b) What can Diana expect in the long run, after playing the game many times? O Diana can expect to gain money. She can expect to win pesos per spin. O Diana can expect to lose money. She can expect to lose pesos per spin. O Diana can expect to break even (neither gain nor lose money).
Frank is playing a game in which he spins a spinner with 6 equal-sized slices numbered 1 through 6. The spinner stops on a numbered slice at random. This game is this: Frank spins the spinner once. He wins $1 if the spinner stops on the number 1, $4 if the spinner stops on the number 2, $7 if the spinner stops on the number 3, and $10 if the spinner stops on the number 4. He loses $8.75 if the spinner stops on 5 or 6. S (a) Find the expected value of playing the game. dollars (b) What can Frank expect in the long run, after playing the game many times? O Frank can expect to gain money. He can expect to win dollars per spin. O Frank can expect to lose money. He can expect to lose dollars per spin. O Frank can expect to break even (neither gain nor lose money). C C E C
To raise money for the local Veterans Affairs hospital, your friend organizes a fundraiser, inviting you to play a two-stage game where you pay $8 to play. The game works as follows: a fair 8-sided die is rolled, noting the number shown, and a spinner divided into 4 equal regions of different colors (blue, red, green, orange) is spun, noting the color. If the die shows 3 or the spinner shows orange, then you win $21. If the die shows an even number and the spinner does not show orange, then you win $9. Otherwise, you do not win anything. Let X be your net winnings. (a) Create a probability distribution for X. Enter the possible values of X in ascending order from left to right. All probabilities should be exact. X P(X) (b) Compute your expected net winnings for the game. Round your answer to the nearest cent. $ (c) Is this game fair? Yes No
To raise money for the local Veterans Affairs hospital, your friend organizes a fundraiser, inviting you to play a two-stage game where you pay $8 to play. The game works as follows: a fair 8-sided die is rolled, noting the number shown, and a spinner divided into 4 equal regions of different colors (blue, red, green, orange) is spun, noting the color. If the die shows 3 or the spinner shows orange, then you win $23. If the die shows an even number and the spinner does not show orange, then you win $9. Otherwise, you do not win anything. Let X be your net winnings. (a) Create a probability distribution for X. Enter the possible values of X in ascending order from left to right. All probabilities should be exact. X P(X) -8 9/32 Yes No (c) Is this game fair? 1 12/32 (b) Compute your expected net winnings for the game. Round your answer to the nearest cent. $2.93 14 Enter a fraction, integer, or exact decimal. Do not approximate. 11/32
Catalina participates in a game that consists of spinning a roulette with 6 segments of the same size numbered from 1 to 6. The roulette randomly stops at a numbered segment.This is the game: Catalina spins the wheel only once. She wins $ 1 if the wheel stops at number 1, $ 3 if the wheel stops at number 2, $ 5 if the wheel stops at number 3, and $ 7 if the wheel stops at number 4. She loses $ 1.25 if roulette stops at 5 or 6. (a) Calculate the expected value of participating in the game.____ pesos b) What can Catalina expect in the long run after playing several times?1) Catalina can expect to earn money.She can expect to earn ___ pesos per spin of the roulette wheel. 2) Catalina can expect to lose money.She can expect to lose ___ pesos per spin of the roulette wheel. 3) Catalina can expect to draw (she neither wins nor loses money)
The most popular game at the Whoville Resort and Casino (WRC) is "Pick Green", which is played with the WRC's Great Urn of Joy. This urn contains thousands of marbles: 85% red and 15% green. The game costs $1 to play and the rules simple: After paying $1, the player repeatedly draws one marble at random, with replacement from the Great Urn of Joy, until they draw a red marble. The player then receives a payoff based on the number of green marbles that they drew, according to the following table: #green marbles 0 1 2 3 4 or more payoff SO $1 $5 $100 $1000 While it is true that Whos don't earn extra cash for drawing more than 4 green marbles, they do get a certificate listing their total, and these certificates are a source of great pride in Whoville. What is the probability that a player receives (exactly) $5 in this game? What is the probability that a player receives at least $1 in this game? Consider the WRC's point of view: their profit-per-game is $1 - payoff. What is the expected…
Maria plays the following game: There is a jar containing 2 gold coins, 2 silver coins, and 6 bronze coins. She must select two coins. She gets $2 for each gold coin she selects. She gets $1 for each silver coin she selects. She gets nothing for selecting bronze coins. For example, if she picks one gold and one silver coin, she will get $3 total. If she picks one silver and one bronze coin, she gets $1 total. Let X be her winnings for this game. Fill in the pmf table (leave your answers here as fractions). x 0 1 2 3 4 p(x) Compute the expected value. Write your answer as a decimal (as you would a dollar amount): $ .

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