Calculate the expected value and the variance of x

Assignment Help Basic Statistics

Let X be a continuous random variable whose probability density function is:

f(x)=x3/ 4

for an interval 0 < x < c.

What is the value of the constant c that makes f(x) a valid probability density function?

Give the cdf of X

Calculate the expected value and the variance of X.

Calculate P(X>0.5) and P(0.2<X<0.5)

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