the value of k that makes f(r) a valid probability density function.(b) Find E(R) and V (R).(c) Find the expected area of a circle whose radius is R.

R is a random variable that represents the radius of a circle. Its probability density function isf(r) = k [1 – (10 – r) ^2], 9 <= r <= 11.(a) Find the value of k that makes f(r) a valid probability density function.(b) Find E(R) and V (R).(c) Find the expected area of a circle whose radius is R.

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