A game is set up as follows: Thirteen balls numerated from 1 to 13 are placed in
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Question:
A game is set up as follows: Thirteen balls numerated from 1 to 13 are placed in a bag. The balls are mixed up, and then one ball is chosen at random (and then replaced). The player wins according to the following rules.
If the number 1 is drawn, the player loses $20.
If the numbers 11, 12, or 13 are drawn, the player wins $10.
If any other ball (2 –> 10) is drawn, the player wins $2.
Outcome
X Gain
P(X)
XP(X)
a. Find the Expectation of the game.
b. How much should be charged to play this game in order for it to be fair
Related Book For
Elementary Statistics A step by step approach
ISBN: 978-0073386102
8th edition
Authors: Allan Bluman
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