What is the age distribution of patients who make office visits to a doctor or nurse? The following table is based on information taken from the Medical Practice Characteristics section of the Statistical Abstract of the United States.

Suppose you are a district manager of a health management organization (HMO) that is monitoring the office of a local doctor or nurse in general family practice. This morning the office you are monitoring has eight office visits on the schedule. What is the probability that:
(a) At least half the patients are under 15 years old? First, explain how this can be modeled as a binomial distribution with 8 trials, where success is visitor age is under 15 years old and the probability of success is 20%.
(b) From 2 to 5 patients are 65 years old or older (include 2 and 5)?
(c) From 2 to 5 patients are 45 years old or older (include 2 and 5)? Hint: Success is 45 or older. Use the table to compute the probability of success on a single trial.
(d) All the patients are under 25 years of age?
(e) All the patients are 15 years old or older?

Transcribed Image Text:

Under 15 15-24 25-44 45-64 65 and older Age group, years Percentage of office visitors | 20% 10