(Answered) Suppose the probability density function for a random

Engineering

Suppose the probability density function for a random variable X equals the following:

f(x) = cx³ for {0 < x < 1}, f(x) = 0 otherwise. Where "c" stands for a constant value.

(a) Solve for the value of "c" that makes this a valid pdf. (Hint: please refer to the two necessary conditions of a pdf from the video introduction and .ppt.)

(b) Using integration, Find E(X) and the cdf, F(X). Use the value for "c" you found in (a).

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