Let x be a random variable with probability density
Let X be a random variable with probability density function 630x4(1 - x)4, 0 < x=""> 1,f(x) = 0, otherwise.
(a) Obtain the lower bound given by Chebyshev's inequality for P {0.2 X 0.8}.
(b) Compute the exact probability, P {0.2 X <>0.8}.
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