A campaign fundraiser cold calls people who donated in previous years. Based on the last midterm election's data, roughly six in fifty people picked up the phone when called. Anticipating a similar connection rate during this election season, the fundraiser wants to predict the number of calls they will need to make before they speak to their first potential donor. The campaign is going on in a large city, and the previous donors aren't likely to know each other.

• (a) Describe how you will model this situation and explain why in complete sentences. Indicate all model parameters, units, and justify your use of this model.
• (b) What is the probability it will take more than three calls to speak to someone?
• (c) What is the probability they will talk to someone within the first 20 calls.
• Express all probabilities using mathematical notation. Probabilities of continuous distributions should also be graphed.
• (d) Derive the mean of this distribution.