b. The random variable X has probability density function, ƒ given by { #(1+x²), 0

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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b. The random variable X has probability density function, f given by
E(1+x?), 0< r < 3
f(x) =
0,
otherwise
Let Y be a random variable such that Y = 3X +1
(i) Find the distribution function of Y i.e. H(y). (the function need not be simplified)
(ii) Using this distribution function, determine the 60th percentile of Y.
(iii) Hence obtain h(y), the probability density function of Y.
Transcribed Image Text:b. The random variable X has probability density function, f given by E(1+x?), 0< r < 3 f(x) = 0, otherwise Let Y be a random variable such that Y = 3X +1 (i) Find the distribution function of Y i.e. H(y). (the function need not be simplified) (ii) Using this distribution function, determine the 60th percentile of Y. (iii) Hence obtain h(y), the probability density function of Y.
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