You are at the Devil’s Chasm Ski Basin and estimate that you have a 40% chance of successfully navigating a run down the difficult triple black diamond Yeow! Slope with-out a serious fall. Today you plan to make three runs down Yeow! However, if you have a serious fall on any one of these runs, that’s it—you’re done for the day.
a. Define “number of attempted runs” as your random variable and let x represents the values for the random variable. Show the full probability distribution.
b. Define “number of successful runs” as your random variable and show the full probability distribution.
c. Define “number of falls” as your random variable and show the full probability distribution.