o 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-side le 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 range, 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. et 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 1 12/32 ✓ 14 x Enter a fraction, integer, or exact decimal. Do not approximate. 11/32 (b) Compute your expected net winnings for the game. Round your answer to the nearest cent. $ 2.93
o 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-side le 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 range, 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. et 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 1 12/32 ✓ 14 x Enter a fraction, integer, or exact decimal. Do not approximate. 11/32 (b) Compute your expected net winnings for the game. Round your answer to the nearest cent. $ 2.93
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fac457633-b8db-4bac-8d1c-9ae2539e023c%2F6e082a60-7413-484d-b1e9-638a0e5563c1%2F3vg3o4e_processed.png&w=3840&q=75)
Transcribed Image Text: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
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