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10. A random variable X has the following distribution function: 0 if x < 2, 1/8 if 2

10. A random variable X has the following distribution function: 0 if x < 2, 1/8 if 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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10. A random variable X has the following distribution function: 0 if x < 2, 1/8 if 2<x< 2.5, 3/16 if 2.5 < x < 4, 1/2 if 4<x< 5.5, 5/8 if 5.5 ≤ x < 6, 11/16 if 6<x<7, 1 if x 27. F(x) = P(X ≤ x) = (a) Is X a discrete or continuous random variable? Why? (b) What values of X are assigned positive probabilities? (c) Find the probability function for X. (d) What is the median, p0.5, of X?
Transcribed Image Text:10. A random variable X has the following distribution function: 0 if x < 2, 1/8 if 2<x< 2.5, 3/16 if 2.5 < x < 4, 1/2 if 4<x< 5.5, 5/8 if 5.5 ≤ x < 6, 11/16 if 6<x<7, 1 if x 27. F(x) = P(X ≤ x) = (a) Is X a discrete or continuous random variable? Why? (b) What values of X are assigned positive probabilities? (c) Find the probability function for X. (d) What is the median, p0.5, of X?
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