What is the age distribution of patients who make office visitsto a doctor or nurse? The following table is based on informationtaken from a medical journal.
| Agegroup, years | Under 15 | 15-24 | 25-44 | 45-64 | 65 and older |
| Percent of officevisitors | 10% | 5% | 15% | 10% | 60% |
Suppose you are a district manager of a health managementorganization (HMO) that is monitoring the office of a local doctoror nurse in general family practice. This morning the office youare monitoring has eight office visits on the schedule. What is theprobability of the following?
(a) At least half the patients are under 15 years old. (Roundyour answer to three decimal places.)
Explain how this can be modeled as a binomial distribution with 8trials, where success is visitor age is under 15 years old and theprobability of success is 10%?
Let n = 15, p = 0.10 and compute theprobabilities using the binomial distribution.Let n = 8,p = 0.10 and compute the probabilities using the binomialdistribution. Let n = 8, p= 0.90 and compute the probabilities using the binomialdistribution.Let n = 8, p = 0.15 and compute theprobabilities using the binomial distribution.
(b) From 2 to 5 patients are 65 years old or older (include 2 and5). (Round your answer to three decimal places.)
(c) From 2 to 5 patients are 45 years old or older (include 2 and5). (Hint: Success if 45 or older. Use the table tocompute the probability of success on a single trial. Round youranswer to three decimal places.)
(d) All the patients are under 25 years of age. (Round your answerto three decimal places.)
(e) All the patients are 15 years old or older. (Round your answerto three decimal places.)
