1. (4 marks) Check whether the mean and the variance of the followingdistributions exist:aa. fx(x) =-00 < x < ∞ (a is positive constant)π(α2+x2)b. fx(x) = {2xx > 1else2. (5 mark) Let X be a uniformly distributed random variable with probabilitydensity function:-1 < x < 3else(afx(x)Find the distribution for the random variable of Y = X2

Question 1 : (a) fX(x) is the pdf of Cauchy distribution. Mean and variance does not exist…

1. (4 marks) Check whether the mean and the variance of the following distributions exist: a a. fx(x) = -00 < x < ∞ (a is positive constant) T(a2+x2) b. fx(x) = {2x3 x 2 1 else 2. (5 mark) Let X be a uniformly distributed random variable with probability density function: -1 < x < 3 fx(x) = else Find the distribution for the random variable of Y = X2

1. (4 marks) Check whether the mean and the variance of the following distributions exist: a a. fx(x) = -00 < x < ∞ (a is positive constant) T(a2+x2) b. fx(x) = {2x3 x 2 1 else 2. (5 mark) Let X be a uniformly distributed random variable with probability density function: -1 < x < 3 fx(x) = else Find the distribution for the random variable of Y = X2

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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