Question: 2. Suppose random variable X has probability density function given by Ae')'($'5), a: > 5 H 0, otherwise for some constant A > 0. [6

2. Suppose random variable X has probability density function given by Ae')'($'5), a: > 5 \"H 0, otherwise for some constant A > 0. [6 marks] (a) Find E [X ], the expected value of X. (b) The theoretical median of a distribution is the value X = m such that F(m) = %; that is, the point at which half the probability mass lies below and half the probability mass lies above that point. Find the median of the distribution for X

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