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Suppose a random variable has the following probability density function: f(x)=3cx^2 (1-x) 0≤x≤1 a) What must...

Suppose a random variable has the following probability density function: f(x)=3cx^2 (1-x) 0≤x≤1

a) What must c be equal to for this to be a valid density function?

b) Determine the mean of x, μ_x

c) Determine the median of x, μ ̃_x

d) Determine: P(0≤x≤0.5) ?

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