Question: Terry is a telemarketer and he calls people randomly trying to sell home security systems. We will assume that people's responses are independent of each

Terry is a telemarketer and he calls people randomly trying to sell home security systems. We will assume that people's responses are independent of each other. We will also assume that the probability that a person will purchase a home security system is 0.025. *** For full credit in each part, you need to clearly define the random variable that you will use, along with the distribution, and any parameter values. a. What is the probability that it will take Terry at least 20 calls to make his first sale? [3] b. Suppose that Terry only has time to call 30 people. What is the probability that he will make at least one sale? [3] c. What is the probability that Terry will sell 3 home security systems with 6 calls? [3]

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