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Finding the constant using probability density function and cumulative distribution function

Let X be a continuous random variable with probability density function (PDF) given by:

fX(x) = cx3 + x, if 0 ≤ x ≤ 1and fX(x) = 0 otherwise.

(a) Show that the value c = 2 makes fX(x) a PDF.

(b) Find the cumulative distribution function FX(x) for every real x.

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Category:- Statistics and Probability
Reference No.:- M9167909

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