S Let X be a random variable that follows a gamma distribution, with pdf 1 f(r) r> 0. 3 T(a) a Show that (1) %3D A Consider now the special case where a = 3 and 8 = 2. Find the pdf of Y = vX. %3! %3D T Calenlate the mean and the variance of Y. Hint: You can use equation(1).

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.