The following contingency table details the sex and age distribution of the patients currently registered at a family physician’s medical practice. If the doctor sees 20 patients per day, use the binomial formula and the information contained in the table to answer the question: SEX AGE Under 20 20-39 40-59 60-79 80 or over TOTAL Male 5.6% 12.8% 18.4% 14.4% 3.6% 54.8% Female 2.8% 9.6% 13.2% 10.4% 9.2% 45.2% TOTAL 8.4% 22.4% 31.6% 24.8% 12.8% 100.0% What is the probability that exactly 2 of the patients seen in one day are 20 - 39? Round to 4 significant digits.
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.
1. The following
|
SEX |
AGE |
|||||
|
Under 20 |
20-39 |
40-59 |
60-79 |
80 or over |
TOTAL |
|
|
Male |
5.6% |
12.8% |
18.4% |
14.4% |
3.6% |
54.8% |
|
Female |
2.8% |
9.6% |
13.2% |
10.4% |
9.2% |
45.2% |
|
TOTAL |
8.4% |
22.4% |
31.6% |
24.8% |
12.8% |
100.0% |
What is the
Round to 4 significant digits.
2. Given that X is a continuous random variable that has a uniform probability distribution, and 0 < X < 1:
a. Calculate P(X > 1/5)(to 3 significant digits).
P(X > 15)=
b. Determine the mean (µ) and standard deviation (σ) of the distribution (to 3 significant digits).
σ =
µ =
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