Let X be a random variable with probability density function f(x) = {cx", 00 F(x) = P(X < x) = { 1-e-x*, 1/2
Let X be a random variable with probability density function f(x) = {cx", 00 F(x) = P(X < x) = { 1-e-x*, 1/2
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:Let X be a random variable with probability density function
(cx", 0<x < 1,
f(x) = {"0,"
%3D
otherwise
(a) What is the value of c ?
(b) What is the cumulative distribution function F(x) ?
wwW.
Suppose that the cumulative distribution function of X is given by
www
0,
x <0
4'
0<x < 1
F(x) = P(X < x) = {5+
1< x < 2
4
2 < x < 3
12'
1,
x 2 3
Find P < x < 3}.
Suppose that the cumulative distribution function of the random variable X
is given by
F(x) = P(X < x) =-
1- e-x,
x>0
0,
Calculate P(X > 1).
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