The joint probability density function of the random variables X and Y is given below:

f$($x$,$y$)=(3/2)$x$2$y$,01/2,$ Y$<3/2).$

a$.$

$0\mathrm{.}21875$

b$.$

$0\mathrm{.}492188$

c$.$

$0\mathrm{.}000977$

d$.$

$0\mathrm{.}055944$

e$.$

$0\mathrm{.}09375$