Question: The machine component described in Exercise 11 has a 50% chance of lasting at least how long? Exercise 11 The useful life (in hundreds of

The machine component described in Exercise 11 has a 50% chance of lasting at least how long?

Exercise 11

The useful life (in hundreds of hours) of a certain machine component is a random variable X with the cumulative distribution function F (x) = 19x², 0 ≤ x ≤ 3.

(a) Find E(X ), and give an interpretation of this quantity.

(b) Compute Var (X ).

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