Suppose that 90% of Narnians are children, that Narnian children have normally distributed BMIs with a mean of 25 kg/m2 and variance of 64 (kg/m2) 2 , and that Narnian adults have normally distributed BMIs with a mean of 30 kg/m2 and variance of 100 (kg/m2 ) 2 . WHO currently categorizes BMIs greater than 30 as obese. a. What is the prevalence of obesity among Narnian children? b. What is the prevalence of obesity among Narnian adults? c. What is the overall prevalence of obesity among Narnians? d. Are age and obesity statistically independent in Narnia? e. What proportion of Narnians are obese children? f. What proportion of obese Narnians are children?
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.
Suppose that 90% of Narnians are children, that Narnian children have
distributed
and variance of 64 (kg/m2) 2
, and that Narnian
adults have normally distributed BMIs with a mean of 30 kg/m2
and variance of 100
(kg/m2
)
2
. WHO currently categorizes BMIs greater than 30 as obese.
a. What is the prevalence of obesity among Narnian children?
b. What is the prevalence of obesity among Narnian adults?
c. What is the overall prevalence of obesity among Narnians?
d. Are age and obesity statistically independent in Narnia?
e. What proportion of Narnians are obese children?
f. What proportion of obese Narnians are children?
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