Let X be a discrete random variable given as follows. x -2.0 -0.5 1.25 1.5 otherwise p(x) 0.15 0.4 0.3 0.15 0 ◼ 3.1. Find the expected value μ and standard deviation σ. ◼ 3.2. Determine the composite random variables, Z=(X-μ)/σ and Z2. ◼ 3.3. Find the value of P(Z2 ≥k) for k=1.5, k=2.5 and k=3.5. Do they all satisfy the inequality of (2.3)?
Let X be a discrete random variable given as follows. x -2.0 -0.5 1.25 1.5 otherwise p(x) 0.15 0.4 0.3 0.15 0 ◼ 3.1. Find the expected value μ and standard deviation σ. ◼ 3.2. Determine the composite random variables, Z=(X-μ)/σ and Z2. ◼ 3.3. Find the value of P(Z2 ≥k) for k=1.5, k=2.5 and k=3.5. Do they all satisfy the inequality of (2.3)?
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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Let X be a discrete random variable given as follows.
x -2.0 -0.5 1.25 1.5 otherwise
p(x) 0.15 0.4 0.3 0.15 0
◼ 3.1. Find the
◼ 3.2. Determine the composite random variables, Z=(X-μ)/σ and Z2.
◼ 3.3. Find the value of P(Z2 ≥k) for k=1.5, k=2.5 and k=3.5. Do they all satisfy the inequality of (2.3)?
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