Neapolitan has 3 flavors Chocolate strawberry and vanilla We

Neapolitan has 3 flavors. Chocolate, strawberry, and vanilla. We have a gallon of neopolitan icecream. X = amount of vanilla and Y = amount of strawberry. The random variables X and Y can be modeled by:

f(x,y) = c(x^3)y 0<= x <= 1, 0 <= y <= 1, x+y <= 1

a. Find c.

b. Find P(Y > 0.2 | X = 0.5)

c. Find expected amount of Chocolate.

Solution