If the probability density of X is given by f(x) =kx3(1 + 2x)6 for x > 00 elsewhere where k is an appropriate constant, find the probabilitydensity of the random variable Y = 2X 1 + 2X . Identify thedistribution of Y, and thus determine the value of k.
If the probability density of X is given by f(x) =kx3(1 + 2x)6 for x > 00 elsewhere where k is an appropriate constant, find the probabilitydensity of the random variable Y = 2X 1 + 2X . Identify thedistribution of Y, and thus determine the value of k.
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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Question
If the probability density of X is given by
f(x) =
kx3
(1 + 2x)6 for x > 0
0 elsewhere
kx3
(1 + 2x)6 for x > 0
0 elsewhere
where k is an appropriate constant, find the probability
density of the random variable Y = 2X
density of the random variable Y = 2X
1 + 2X . Identify the
distribution of Y, and thus determine the value of k.
distribution of Y, and thus determine the value of k.
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