Let X be a continuous RV with a probability density function (PDF) fX(x) = cx2

Mar 16th, 2015
Anonymous
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Question description

Let X be a continuous RV with a probability density function (PDF)

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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