Let X be a continuous RV with a probability density function
fX(x) = cx2 for
0 < x < 3 = 0 otherwise where c is a constant. a) Find the constant c. b) Find the probability that X takes on a value between 1 and 2 i.e., P(1 < X < 2) using the PDF. c) What is the probability that X is equal to 1.5? d) Find the CDF for the random variable X.
e) Use the CDF to calculate P(1 < X < 2).
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