Question: A random variable X has the PDF: fx(x) = (A x (1-x) 0 ,0 x1 otherwise a. For what value of A is fx(x)

0 ,0 x1 otherwise a. For what value of A is fx(x)

a legitimate PDF? b. With the above value of A, what is

the CDF of X? c. With the above value of A, what

A random variable X has the PDF: fx(x) = (A x (1-x) 0 ,0 x1 otherwise a. For what value of A is fx(x) a legitimate PDF? b. With the above value of A, what is the CDF of X? c. With the above value of A, what is P[X >? The CDF of a discrete random variable X is given by: Fx(x) = 0 1 4 1 2 5 8 1 x < 0 ,0 < x < 1 ,1 a. Determine PMF of X? b. What is P[0 < X < 4]? c. What is P[X > 3]? d. Find Fx (1) ?

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