Can you solve this please?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 6E
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Can you solve this please?
Transcribed Image Text:• Question 7
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A ping pong ball is drawn at random from an urn consisting of balls numbered 4 through 9. A player
wins $1 if the number on the ball is odd and loses $1.5 if the number is even.
Let x be the amount of money a player will win/lose when playing this game, where x is negative
when the player loses money.
(a) Construct the probability distribution table for this game. Round your answers to two decimal
places.
Outcome
Probability P(x)
(b) What is the expected value of player's winnings? Round to the nearest hundreth.
(c) Interpret the meaning of the expected value in the context of this problem.
Use the space below to type your answer AND/OR to uoload a oicture of your work for all the
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Expert Solution
Step 1
(a)
Given that the urn contains balls numbered 4 to 9.
Sample space={4,5,6,7,8,9}
That is there are 6 balls, the probability of drawing each ball has equal probability 1/6.
Let x be the amount of money a player will win or lose.
If x lands on odd then the player will win $1.
That is ,if x lies on {5,7,9} the player wins $1.
If x lands on even then the player will lose $1.5.
That is, if x lies on {4,6,8} the player loses $1.5.
The probability distribution table is constructed below.
| Outcome | x | probability, P(X) |
| 4 | -1.5 | 1/6 |
| 5 | 1 | 1/6 |
| 6 | -1.5 | 1/6 |
| 7 | 1 | 1/6 |
| 8 | -1.5 | 1/6 |
| 9 | 1 | 1/6 |
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