9. In a game of chance, a fair die is tossed, Let the random variable X represent the amount you wim. If the number 1 or 2 is shown, you win $2. If the number 5 is shown, you win $5. If the number 3, 4, or 6 is shown, you win nothing. a) Fill in the table below to complete the probability distribution of X. PX=x) b) What is the expected value of X? Show your work.

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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9. In a game of chance, a fair die is tossed, Let the random variable X represent the amount you will.
If the number 1 or 2 is shown, you win $2.
If the number 5 is shown, you win $5.
If the number 3, 4, or 6 is shown, you win nothing.
a) Fill in the table below to complete the probability distribution of X.
PX =x)
b) What is the expected value of X? Show your work.
Transcribed Image Text:Problem 9. In a game of chance, a fair die is tossed, Let the random variable X represent the amount you will. If the number 1 or 2 is shown, you win $2. If the number 5 is shown, you win $5. If the number 3, 4, or 6 is shown, you win nothing. a) Fill in the table below to complete the probability distribution of X. PX =x) b) What is the expected value of X? Show your work.
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