3. Let X be a continuous random variable with the probability density function (PDF): 0.1 0

3. Let X be a continuous random variable with the probability density function (PDF): f(x) = 0.1 0.05 0 osx <8 8 < x < 12 Othewise To answer the following questions, it may help to draw a graph of this PDF. a) (4 points.) Find F(y), the cumulative distribution function (CDF) of X, for all y-values from b) c) oo to 00. (4 points.) Find the median of X. 1 (4 points.) Find the expected value of X. 4. Let X be a random variable with the cumulative distribution function (CDF):