17 The continuous random variable X has probability density function 1+x , 1sx<3 6 f(x) = otherwise. a. Sketch the probability density function of X. b. Calculate the mean of X. c. Find the cumulative distribution function, F(x) and sketch its graph.
17 The continuous random variable X has probability density function 1+x , 1sx<3 6 f(x) = otherwise. a. Sketch the probability density function of X. b. Calculate the mean of X. c. Find the cumulative distribution function, F(x) and sketch its graph.
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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Q17
Transcribed Image Text:17. b. 2
9.
, x<1
с. F(x) 3D
(x+3)(x-1) , 1<x<3
12
1
x2 3
d. 2.1623
Transcribed Image Text:17 The continuous random variable X has probability density function
1+x
, l&x<3
S(x)
, otherwise.
a. Sketch the probability density function of X.
b. Calculate the mean of X.
c. Find the cumulative distribution function, F(x) and sketch its graph.
d. Find m such that P(X <m)
2
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