Solved: The distribution function for the duration of a

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QUESTION:

The distribution function for the duration of a certain soap opera (in tens of hours) is F (x) = 1 16 x2 if x 4 0 if x < 4. (a) Find E(X). (b) Show that Var(X) does not exist.

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QUESTION:

The distribution function for the duration of a certain soap opera (in tens of hours) is F (x) = 1 16 x2 if x 4 0 if x < 4. (a) Find E(X). (b) Show that Var(X) does not exist.

ANSWER:

Step 1 of 3

Given, the distribution function for the duration of a certain soap opera (in tens of hours) is

So the density function for the duration of certain soap opera is

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