Question: You write a software program over and over, and each time there is probability p that it works correctly, independent of previous attempts. Consider the

You write a software program over and over, and each time there is probability p that it works correctly, independent of previous attempts. Consider the random variable X, number of tries until the program works correctly.

(a) (5 points) Write down the PMF of the random variable X.

(b) (10 points) Show that the it is a valid PMF.

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1. Identify your reference point when making a decision based on an element of risk.

3. If there are reasonable alternatives, think about your decisions based on the different reference points and see if there are any contradictions in the decisions.

4. It is only at this point that you can give the problem your full attention in relation to the various ways you have framed the problem.