Question: Let X be a continuous random variable with PDF fX(x) = ( x 2 9 , for 0 < x < 3, 0, otherwise. Let

Let X be a continuous random variable with PDF fX(x) =

(

x 2

9

, for 0 < x < 3, 0, otherwise.

Let FX(x) be the CDF of X. For each of the following statements, say whether it is correctly written. If not, say what is wrong with it.

a. FX(x) =

∫ s

−∞

fX(x) dx.

b. FX(x) =

∫ x

−∞

fX(s) ds.

c. FX(x) =

∫ ∞

−∞

x 2

9 ds.

d. FX(x) =

∫ x

−∞

s 2

9 ds.

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