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% 5% 25% 20% 30% 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 = 0.20 and compute the probabilities using the binomial distribution.Let n = 8, p = 0.25 and compute the probabilities using the binomial distribution. Let n = 8, p = 0.80 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.)
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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% | 5% | 25% | 20% | 30% |
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
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). (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.)
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