Let x be uniformly distributed between -2 and 6. A new random variable y = x². What is the probability density function (pdf) of y, f(y), including its support?
a) f(y) = 1/4 for 0 ≤ y ≤ 36
b) f(y) = 1/8 for 0 ≤ y ≤ 36
c) f(y) = 1/6 for 0 ≤ y ≤ 36
d) f(y) = 1/12 for 0 ≤ y ≤ 36
