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A sales representative from a pharmaceutical company has appointments with 4 doctors tomorrow. She hopes she can convince them to switch their patients' treatment to

A sales representative from a pharmaceutical company has appointments with 4 doctors tomorrow. She hopes she can convince them to switch their patients' treatment to a new drug developed by her company. She believes that the probability of convincing any doctor is 0.20.

What is the probability that he will convince 3 out of 4 doctors to switch?

What is the probability that he will convince more than 2 doctors to switch?

If the sales representative has many days in his calendar with appointments, what is the typical number of doctors per day that he will convince to switch?

Find the variance of the number of doctors who would change.

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