A sales representative for a pharmaceutical company has appointments with 4 doct

Question

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

What is the likelihood that she will convince 3 out of 4 doctors to switch?

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

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

Compute the variance of the number of doctors who would switch.

Explanation / Answer

n = 4

p = 0.2

P( she will convince 3 out of 4 doctors to switch ) = 4C3 x 0.23 x 0.8 = 0.0256

P( she will convince more than 2 doctors to switch) = P(she will convince 3 doctors to switch) + P(she will convince 4 doctors to switch)

= 0.0256 + 0.24

= 0.0272

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