1. Suppose X1, X2, ..., X10,000 are independent random variables with E(X;) = 8 and Var(X;) = 4 for each i. Let Y = (X1+ X2 + ... + X10,000)/10,000. a. Find E(Y). o. Find Var(Y). c. What does the Chebyshev inequality say about P(|Y – E(Y)| > 0.1)? -
1. Suppose X1, X2, ..., X10,000 are independent random variables with E(X;) = 8 and Var(X;) = 4 for each i. Let Y = (X1+ X2 + ... + X10,000)/10,000. a. Find E(Y). o. Find Var(Y). c. What does the Chebyshev inequality say about P(|Y – E(Y)| > 0.1)? -
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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![4. Suppose X1, X2,..., X10,000 are independent random variables with E(X;) = 8 and
Var(X;) = 4 for each i. Let Y = (X1+ X2 + ... +X10,000)/10,000.
a. Find E(Y).
b. Find Var(Y).
c. What does the Chebyshev inequality say about P(|Y – E(Y)| 2 0.1)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e2c361d-8518-4856-88b2-6cc1bbb6ecc8%2F850e55c1-58d2-40ac-a1e4-288fe61f5a5d%2Fujizwm7_processed.png&w=3840&q=75)
Transcribed Image Text:4. Suppose X1, X2,..., X10,000 are independent random variables with E(X;) = 8 and
Var(X;) = 4 for each i. Let Y = (X1+ X2 + ... +X10,000)/10,000.
a. Find E(Y).
b. Find Var(Y).
c. What does the Chebyshev inequality say about P(|Y – E(Y)| 2 0.1)?
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