Question: 4.78 Compute P( 2 < X < + 2), where X has the density function f(x) = 30x2 (1 x)2 ,

4.78 Compute P(μ − 2σ < X < μ + 2σ), where X has the density function f(x) =



30x2 (1 − x)2 , 0 < x < 1, 0, elsewhere and compare with the result given in Chebyshev’s theorem.

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