Suppose that x has a continuous distribution with


Suppose that X has a continuous distribution with distribution function

\(F(x)=(1/9)x^2\)

for 0

(A) Verify that F is really a distribution function.

(B) Find the probability density function f.

(C) Find P(1

(D) Find the quantile function F^-1.

(E) Find the median.

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