The Agency for Healthcare Research and Quality reported that 53% of people who had coronary bypass surgery in 2008 were over the age of 65. Suppose 15 coronary bypass surgery patients from the year 2008 are chosen. What is the probability that: (Express answers to 4 decimal places) a) exactly 8 of the patients were over the age of 65 when they had their surgery? b) fewer than 10 of the patients were over the age of 65 when they had their surgery? c) between 6 and 11 of the patients were over the age of 65 when they had their surgery? d) more than 12 of the patients were over the age of 65 when they had their surgery? e) would it be unusual that all 15 of the patients were over the age of 65 when they had their surgery?
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.
Please answer all sub-parts.
The Agency for Healthcare Research and Quality reported that 53% of people who had coronary bypass surgery in 2008 were over the age of 65. Suppose 15 coronary bypass surgery patients from the year 2008 are chosen. What is the probability that: (Express answers to 4 decimal places)
a) exactly 8 of the patients were over the age of 65 when they had their surgery?
b) fewer than 10 of the patients were over the age of 65 when they had their surgery?
c) between 6 and 11 of the patients were over the age of 65 when they had their surgery?
d) more than 12 of the patients were over the age of 65 when they had their surgery?
e) would it be unusual that all 15 of the patients were over the age of 65 when they had their surgery?
(Remember: "between" does not include the endpoints of an interval of discrete number
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