Expectation of a random variable. A red die and a blue die are rolled. You win or lose money depending on the sum of the values of the two dice. If the sum is 5, 6, or 12, you win $6. If the sum is 4 or 10, you win $1. If the sum is any other value (2, 3, 7, 8, 9, or 11), you lose $4. Let X be a random variable that corresponds to your net winnings in dollars. What is the expected value of X?

Expectation of a random variable. A red die and a blue die are rolled. You win or lose money depending on the sum of the values of the two dice. If the sum is 5, 6, or 12, you win $6. If the sum is 4 or 10, you win $1. If the sum is any other value (2, 3, 7, 8, 9, or 11), you lose $4. Let X be a random variable that corresponds to your net winnings in dollars. What is the expected value of X?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Expectation of a random variable.

A red die and a blue die are rolled. You win or lose money depending on the sum of the values of the two dice.

If the sum is 5, 6, or 12, you win $6.

If the sum is 4 or 10, you win $1.

If the sum is any other value (2, 3, 7, 8, 9, or 11), you lose $4.

Let X be a random variable that corresponds to your net winnings in dollars. What is the expected value of X?

E[X] = Ex: 1.23

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