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- Show that if α > 1 and β > 1, the beta density has arelative maximum atx = α − 1α + β − 2.Verify that the integral of the beta density from −qto q equals 1 for(a) α = 2 and β = 4;(b) α = 3 and β = 3.Suppose initially (t = 0) that the traffic density p = p_0 + epsilon * sinx, where |epsilon| << p_o. Determine p(x, t).