Question: Binomial Random Variable : On your way home from work at 9pm every day, you pass your favorite pizza store. You estimate that 25% of the time, they have at least one slice of pepperoni pizza (your favorite) remaining. 75% of the time, they have already sold out of slices. Assume that whenever there is pizza available, you will buy one slice. Consider the last 10 days and let X represent the number of pizza slices you purchased on the way home from work.

1. For this experiment, define the event that represents a "success".
2. Explain why X is (approximately) a binomial random variable.
3. Give the value of p for this binomial experiment.
4. Find P(X < 5).
5. Find P(X=3).
6. Find P(X>0).
7. How many slices of pepperoni pizza do you expect to purchase over a time period of 10 days?

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