Answered: Q.1 The probability mass function for a… | bartleby

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 9PPS

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Q.1 The probability mass function for a discrete random variable X is
defined as
((1+0)" (^) 0x; x = 0, 1, 2, 3, ..., n
fx(x)
= {(1 +
0;
e. w.
where > 0. Show that it is probability mass function. Find its mean and
variance.

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A5)
EX7.8) Let Y be a random variable having a uniform normal distribution such that Y U(2,5) 2 Find the variance of random variable Y.
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If X,, X2, ..., Xn are independent random variables having exponential distributions with the same п parameter 0. (а) Find the probability density of the random variable Y = X1 + X2 + …+ Xn. ... (b) Identify the distribution of Y, and what are its parameters?
Q6
Let X be a continuous random variable with PDF 3 x > 1 x4 fx(x) = otherwise Find the mean and variance of x.
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