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Question: the random variable x has the probability density function given...

Question details

The random variable X has the probability density function given by:

f(x) = ax + b for 0 < x < 1

         0 otherwise

where a and b are constants. Suppose that E(X) = 1/3.

i. Show that a = −2 and b = 2. (4 marks)

ii. Compute Var(X). (4 marks)

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