Under 15 15-24 25-44 45-64 65 and older Age group, years Percent of office visitors 20% 10% 25% 20% 25%
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Health Care: Office Visits 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 (116th edition).
Age group, years Under 15 15-24 25-44 45-64 65 and older
Percent of office visitors 20% 10% 25% 20% 25% Suppose you are u 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
(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)? Him: 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?
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