A random variable X has the cumulative density function (CDF) 0, Fx(x)= kx², 100k, x ≤0 0≤x≤ 10. x > 10 a) Find the value of k. b) Is this random variable discrete, continuous or mixed? c) Find the values of P(X ≤ 5)

A random variable X has the cumulative density function (CDF) 0, Fx(x)= kx², 100k, x ≤0 0≤x≤ 10. x > 10 a) Find the value of k. b) Is this random variable discrete, continuous or mixed? c) Find the values of P(X ≤ 5)

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Question

A random variable X has the cumulative density function (CDF)
0,
x≤0
Fx(x) = kx², 0≤x≤ 10.
(100k,
x > 10
a) Find the value of k.
b) Is this random variable discrete, continuous or mixed?
c) Find the values of P(X ≤ 5)
d) Find the value of P(5 ≤ x ≤7)
e) Plot the corresponding probability density function (PDF).

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