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If you graph some Gamma(α,β) densities, you will notice that in some cases as t increases...

If you graph some Gamma(α,β) densities, you will notice that in some cases as t increases they increase from zero, reach a maximum, and then decrease. Use elementary calculus to find, forα >1, the value of t for which the density reaches a maximum. (This value of t is called the mode of the distribution.)

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