In: Statistics and Probability

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 a medical journal.

Age group, years Under 15 15-24 25-44 45-64 65 and older

Percent of office visitors 20% 15% 25% 20% 20%

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 of the following?

(a) At least half the patients are under 15 years old. (Round your answer to three decimal places.)

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%?

Let n = 8, p = 0.80 and compute the probabilities using the binomial distribution.

Let n = 8, p = 0.20 and compute the probabilities using the binomial distribution.

Let n = 8, p = 0.35 and compute the probabilities using the binomial distribution.

Let n = 15, p = 0.20 and compute the probabilities using the binomial distribution.

(b) From 2 to 5 patients are 65 years old or older (include 2 and 5). (Round your answer to three decimal places.)

(c) From 2 to 5 patients are 45 years old or older (include 2 and 5). (Hint: Success if 45 or older. Use the table to compute the probability of success on a single trial. Round your answer to three decimal places.)

(d) All the patients are under 25 years of age. (Round your answer to three decimal places.)

(e) All the patients are 15 years old or older. (Round your answer to three decimal places.)

Suppose that in the absence of insurance, the inverse demand for
office doctor visits is given by the equation P1 = 150 - 30Q. Graph
the demand curve. Graph the demand curve when the person has health
insurance with a coinsurance rate of 25%. What is demand for visits
with and without insurance when doctors receive $60/visit?

suppose that in the absence of insurance, the inverse
demand for office doctor visits is given by the equation P=150 -
30Q.
a. Graph the demand curve.
b. graph the demand curve when the person has health insurance with
a coinsurance rate of 25%.
c. what is demand for visits with and without insurance when
doctors receive €60/visit?

Ralph has a demand curve for office visits (Qd) to the doctor in
a year given by Qd = 20 – (P/10) where P is the price of an office
visit for Ralph.
If the list price of an office visit is $50 and Ralph purchases
health insurance in which he has a coinsurance rate of 20% (so
Ralph pays only $10 for each visit), how many additional office
visits at a list price of $50 does Ralph make relative...

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