LetXbe the price of pizza at a local restaurant ($8 for small, $10 for medium, $12 for large) andYbe how much a customer tips for the delivery person. The joint probability mass functionf(x, y) is given below.

f(x, y)	y
$1.50	$2.00	$2.50
x	$8.00	0.33	0.12	0
$10.00	0.15	0.135	0.025
$12.00	0	0.15	0.09

Find :

a)P(X <10, Y 2)

b)P(X= 12, Y >1.50)

c)P(Y= 2.50)

d)P(X= 10|Y 2)