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

Question

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).