4. Let X be a random variable with density f(1) = Kt1 a,a|(t). (a) Find K in terms of a. (b) Find the cumulative distribution function of X. (c) Caculate P (X >). (d) Calculate E(X).
4. Let X be a random variable with density f(1) = Kt1 a,a|(t). (a) Find K in terms of a. (b) Find the cumulative distribution function of X. (c) Caculate P (X >). (d) Calculate E(X).
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:4. Let X be a random variable with density
f(1) = Kử1-a0(t).
(a) Find K in terms of a.
(b) Find the cumulative distribution function of X.
(c) Caculate P (X >).
(d) Calculate E(X).
Transcribed Image Text:3.5.8
Laplace Distribution
Definition 50
We will say that a random variable X has Laplace distribution if its density is given by
f (x)
-0|æ| Show that this equation
(3.15)
-e
2
is a valid density.
with 0 > 0. We will denote X ~ Laplace(0).
x is any real number
teta is any positive number
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