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Problem 3 Let X be a continuous random variable with values exponentially distributed over [0, 0) with parameter A=0.1. 1. Find the mean and variance of X. 2. Using Chebyshev Inequality, find an upper bound for the following probabilities: P(|X- 102), P(X-1015), P(|X-1019), and P(|X-10 > 20). Are these bounds all useful? 3. Calculate P(|X-109) and P(X-101 > 20) exactly, and compare with the bounds in part 2.

Problem 3 Let X be a continuous random variable with values exponentially distributed over [0, 0) with parameter A=0.1. 1. Find the mean and variance of X. 2. Using Chebyshev Inequality, find an upper bound for the following probabilities: P(|X- 102), P(X-1015), P(|X-1019), and P(|X-10 > 20). Are these bounds all useful? 3. Calculate P(|X-109) and P(X-101 > 20) exactly, and compare with the bounds in part 2.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Q3 Solve all parts please take your time as u want but give me correct answer please ❤
Problem 3 Let X be a continuous random variable with values exponentially distributed over [0,00) with parameter A=0.1. 1. Find the mean and variance of X. 2. Using Chebyshev Inequality, find an upper bound for the following probabilities: P(X- 10 > 2), P(|X-10 > 5), P(|X-10 > 9), and P(|X-10 > 20). Are these bounds all useful? 3. Calculate P(|X-109) and P(X-101 > 20) exactly, and compare with the bounds in part 2.
Transcribed Image Text:Problem 3 Let X be a continuous random variable with values exponentially distributed over [0,00) with parameter A=0.1. 1. Find the mean and variance of X. 2. Using Chebyshev Inequality, find an upper bound for the following probabilities: P(X- 10 > 2), P(|X-10 > 5), P(|X-10 > 9), and P(|X-10 > 20). Are these bounds all useful? 3. Calculate P(|X-109) and P(X-101 > 20) exactly, and compare with the bounds in part 2.
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