1. (4 marks) Check whether the mean and the variance of the followingdistributions exist:aa. fx(x) =;T(a² +x²)-00 1else2. (5 mark) Let X be a uniformly distributed random variable with probabilitydensity function:fx(x) = lofa -1

Question 1: (a) Here fX(x) is pdf of Cauchy distribution and we know that mean and variance does…

Answered: 1. (4 marks) Check whether the mean and…

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1. (4 marks) Check whether the mean and the variance of the following distributions exist: a. fx(x) = #(a²+x²) -00

A First Course in Probability (10th Edition)

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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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Estimation

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Question

1. (4 marks) Check whether the mean and the variance of the following
distributions exist:
a
a. fx(x) =;
T(a² +x²)
-00 <x< 0 (a is positive constant)
b. fx(x) = {2x3 x > 1
else
2. (5 mark) Let X be a uniformly distributed random variable with probability
density function:
fx(x) = lo
fa -1 <x < 3
else
Find the distribution for the random variable of Y = x2

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