Question: B.3 Let X be a continuous random variable whose probability density function is ={20551 (x) = 10 otherwise (a) Sketch the probability density function f(x).

B.3 Let X be a continuous random variable whose probability density function is

={2×05×51

(x) = 10 otherwise

(a) Sketch the probability density function f(x).

(b) Geometrically calculate the probability that X falls between 0 and 1/2.

(c) Geometrically calculate the probability that X falls between 1/4 and 3/4.

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