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A projectile is blue at a target. The distance from the point of impact to the...

A projectile is blue at a target. The distance from the point of impact to the center of the target (in m) is random variable with probability density function.

f(x) = 6x(1-x) where 0<x<1

(a) what is probability that the distance is greater than 0.4m and smaller than 1.5m?
(b) what is mean distance?
(c) what is median distance?
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