Suppose Y is a random variable with probability density function f(y) = c(4-y), 0<y<4.

a) find the value of c
b)give the cumulative distribution function F(y) = P(Y < y)
c)Find the mean of Y
d) draw f(y) (idk how you would do that on here so if you dont either ignore this part)

a/
[ integral of f(y) dy , from y=0 to y=4] = 1 , then solve for c

b/
F(y) = P(Y < y) = integral of f(y) dy , from y=0 to y

c/
The mean = integral of y f(y) dy , from y=0 to y=4