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Answer to Question #236632 in Statistics and Probability for john k

Question #236632

Let the probability density function of a random variable X be


f(x) = (630x4 (1 − x)4 , : If 0 < x < 4

( 0, : otherwise

(a) What is the exact value of P(|X − µ| ≤ 2σ).

(b) What is the approximate value of P(|X − µ| ⩽ 2σ).


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