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The cumulative distribution function of a random variable X is given by: (See picture) (a) Plot this distribution function. (b) Find P{X >1/2} and P{2 < X ≤ 4}. (c) Find P{X<3} and P{X=1}.

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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Question

The cumulative distribution function of a random variable X is given by: (See picture)

(a) Plot this distribution function.

(b) Find P{X >1/2} and P{2 < X ≤ 4}.

F(x) =
0
11
12
1
x < 0
0<x< 1
1<x<2
2<x<3
3 ≤ x

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

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