Explain probability distribution results in a mean score


On average, a doctor will treat between 0 and 5 patients a day. The random variable x represents the number of patients treated on a given day.

x 0 1 2 3 4 5
P(x) 0.01 0.11 0.35 0.42 0.05 0.06

This probability distribution results in a mean score of approximately 2.57. How do you interpret the mean?

a. The doctor will treat an average of 3 patients each day

b. The doctor will treat an average of 5 patients each day

c. The number of patients treated differs

d. The number of patients that the doctor will treat varies by 3 patients

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Basic Statistics: Explain probability distribution results in a mean score
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