8.15. A box contains 5 red and 5 blue marbles. Two marbles are withdrawn ran- domly. If they are the same color, then you win $1.10; if they are different colors, then you win -$1.00 (that is, you lose $1.00). Calculate (a) the expected value of the amount you win; (b) the variance of the amount you win.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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8.15. A box contains 5 red and 5 blue marbles. Two marbles are withdrawn ran-
domly. If they are the same color, then you win $1.10; if they are different colors,
then you win -$1.00 (that is, you lose $1.00). Calculate
(a) the expected value of the amount you win;
(b) the variance of the amount you win.
Transcribed Image Text:8.15. A box contains 5 red and 5 blue marbles. Two marbles are withdrawn ran- domly. If they are the same color, then you win $1.10; if they are different colors, then you win -$1.00 (that is, you lose $1.00). Calculate (a) the expected value of the amount you win; (b) the variance of the amount you win.
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