2. A population has a probability density function given by f(x, b) = b [-b(x ...

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2. A population has a probability density function given by f(x, b) = b [-b(x – 1)2] exp %3D 2πx3 2x for x > 0 and b> 0. a) For 0 <x < 6, plot (on the same graph) f(x) for b = 0.5 and for a = 1. b) Compute E(X), c) Compute Var(X) 2. A population has a probability density function given by f(x, b) = b [-b(x – 1)2] exp %3D 2πx3 2x for x > 0 and b> 0. a) For 0 <x < 6, plot (on the same graph) f(x) for b = 0.5 and for a = 1. b) Compute E(X), c) Compute Var(X)