The density function of a random variable X is given by f (x) = c e|x|
Question:
The density function of a random variable X is given by f (x) = c ⋅ e−|x|
, −∞ < x < ∞, for a real constant c.
(i) Find the value of c and draw the graphs of the density function and the distribution function of the variable X.
(ii) Obtain the expectation ???? = E(X) and the variance Var(X).
(iii) Calculate the following moments of order three for the variable X:
E[X3], E[|X|3], E[(X − ????)3].
Step by Step Answer:
Related Book For
Introduction To Probability Volume 2
ISBN: 9781118123331
1st Edition
Authors: Narayanaswamy Balakrishnan, Markos V. Koutras, Konstadinos G. Politis
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