1.2. Assume that Billy's driving time to class is uniformly distributed from 15-20 minutes in good weather, and uniformly distributed from 25-30 minutes in bad weather. Let the RV X describe Billy's drive time. If the probability of good weather is 2/3. a) .describe mathematically the PDF of X. b) .describe graphically the PDF of X. c) .find the probability that Billy's drive time is >18 minutes. d) .find the Expected Value of Billy's drive time, irrespective of the weather.

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