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(1). If we toss a fair coin 3 times, let X and Y be the number of heads and the number of tails respectively. Compute E[XY].

(1). If we toss a fair coin 3 times, let X and Y be the number of heads and the number of tails respectively. Compute E[XY].

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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If we toss a fair coin 3 times, let \( X \) and \( Y \) be the number of heads and the number of tails respectively. Compute \( \mathbb{E}[XY] \). **Explanation:** - **Variables:** - \( X \): Number of heads in 3 coin tosses. - \( Y \): Number of tails in 3 coin tosses. - **Objective:** Calculate the expected value of the product of \( X \) and \( Y \), denoted as \( \mathbb{E}[XY] \).
Transcribed Image Text:If we toss a fair coin 3 times, let \( X \) and \( Y \) be the number of heads and the number of tails respectively. Compute \( \mathbb{E}[XY] \). **Explanation:** - **Variables:** - \( X \): Number of heads in 3 coin tosses. - \( Y \): Number of tails in 3 coin tosses. - **Objective:** Calculate the expected value of the product of \( X \) and \( Y \), denoted as \( \mathbb{E}[XY] \).
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