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We toss three symmetrical coins. If all the coins are heads, we win $10, if all the coins are tails, we win $5, if exactly two heads are heads, we lose $10, and if exactly two tails are heads, we lose $1. Determine the distribution of the random variable that assigns a win to the result of the toss, calculate its expected value, variance, and standard deviation.

We toss three symmetrical coins. If all the coins are heads, we win $10, if all the coins are tails, we win $5, if exactly two heads are heads, we lose $10, and if exactly two tails are heads, we lose $1. Determine the distribution of the random variable that assigns a win to the result of the toss, calculate its expected value, variance, and standard deviation.

A First Course in Probability (10th Edition)
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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We toss three symmetrical coins. If all the coins are heads, we win $10, if all the coins are tails, we win $5, if exactly two heads are heads, we lose $10, and if exactly two tails are heads, we lose $1. Determine the distribution of the random variable that assigns a win to the result of the toss, calculate its expected value, variance, and standard deviation.

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