For p> 0 and q > 0, let B (p, q) = called the Beta...

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For p> 0 and q > 0, let B (p, q) = √² called the Beta function. Consider u²-¹ (1-u)9-¹ du 1 2P-1 B(p, q) (1+z)p+q¹² > 0. Make the change of variable t = 1/(1+z). f(z) := Show that f(z) is a valid density. Hint: For p> 0 and q > 0, let B (p, q) = √² called the Beta function. Consider u²-¹ (1-u)9-¹ du 1 2P-1 B(p, q) (1+z)p+q¹² > 0. Make the change of variable t = 1/(1+z). f(z) := Show that f(z) is a valid density. Hint: