A continuous random variable with cumulative distribution function F has the median value m such that F(m) = 0.5. That is, a random variable is just as likely to be larger than its median as it is to be smaller. A continuous random variable with density f has the mode value x for which f(x) attains its maximum. For each of the following three random variables, (i) state and graph the density function and then (ii) compute the median, mode and mean and show these values on the graph. a) W which is uniformly distributed over the interval [a, b], for some value a, b E R. # Your Code Here YOUR ANSWER HERE b) X which is normal with parameters u and o?, for some value u, o? e R.

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