A) The random variables X and Y have the following joint density function: e==/24e-3y f(x, y) = if 0

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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A) The random variables X and Y have the following joint density function:
e/2ve-3y
f(x, y) :
if 0 <x < 00,0 <y < 00
otherwise
Find E (X|Y = 2021).
B) A fair die is rolled 72 times. Let X be the total number of trials when a faces having 2
or 3 dots appear and Y be the total number of trials when faces having 3 or 4 dots
appear.
Find p (X, Y).
C) LetX be a random variable with the following density function:
f(r):
if 0 sxs 2
Ba0 otherwise
and given X,
8-0-2x)2
Се
if - co <y < 00
fVl x) =
otherwise
Find EY.
Transcribed Image Text:A) The random variables X and Y have the following joint density function: e/2ve-3y f(x, y) : if 0 <x < 00,0 <y < 00 otherwise Find E (X|Y = 2021). B) A fair die is rolled 72 times. Let X be the total number of trials when a faces having 2 or 3 dots appear and Y be the total number of trials when faces having 3 or 4 dots appear. Find p (X, Y). C) LetX be a random variable with the following density function: f(r): if 0 sxs 2 Ba0 otherwise and given X, 8-0-2x)2 Се if - co <y < 00 fVl x) = otherwise Find EY.
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