Example 3 The joint probability mass function of
(x,Y)
is given by
p(x,y)

=k(2x+3y),x=0,1,2;y=1,2,3
. Find all the marginal and conditional probability distributions. Also find the probability distribution of
(x+Y)
. What is the expected value of (i)
x
(ii)
x|Y
||
=3
. Find also the variance of
x
and conditional variance of
x|Y
||
=3
.

Question

Example 3 The joint probability mass function of

(x,Y)

is given by

p(x,y)

=k(2x+3y),x=0,1,2;y=1,2,3

. Find all the marginal and conditional probability distributions. Also find the probability distribution of

(x+Y)

. What is the expected value of (i)

x

(ii)

x|Y

||

=3

. Find also the variance of

x

and conditional variance of

x|Y

||

=3

.

Accepted Answer

Expert Answer to - Example 3 The joint probability mass function of (x,Y) is given by p(x,y) =k(2x+3y),x=0,1,2;y=1,2,3.

Answer

Solution for - Example 3 The joint probability mass function of (x,Y) is given by p(x,y) =k(2x+3y),x=0,1,2;y=1,2,3.

Answer

This an additional answer to - Example 3 The joint probability mass function of (x,Y) is given by p(x,y) =k(2x+3y),x=0,1,2;y=1,2,3.

(Solved): Example 3 The joint probability mass function of (x,Y) is given by p(x,y) =k(2x+3y),x=0,1,2;y=1,2,3. ...