1. Y has a gamma distribution with parameters a and B. More specifically: f(y) = cye /10, for y> 0 (and f(y) = 0 elsewhere). a)By 'inspection, what are 'a': 'B; and 'e'? b) Determine both the mean of Y and the mode of Y, and comment on why the mean of Y must be greater than the mode of Y. Hint: The mode of Y is the value of y that maximizes the function f(y).

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