The following table lists the joint probabilities associated with smoking and lung disease among 60-to-65 year-old men. Smoker Nonsmoker Has Lung Disease 0.08 0.05 No Lung Disease 0.18 0.69 One 60-to-65 year old man is selected at random. What is the probability of the following events? A. He is a smoker: B. He does not have lung disease: C. He has lung disease given that he is a smoker: D. He has lung disease given that he does not smoke:
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.
The following information is available in the question
Smoker | Non-smoker | Total | |
Has Lung Disease | 0.08 | 0.05 | 0.13 |
No Lung Disease | 0.18 | 0.69 | 0.87 |
Total | 0.26 | 0.74 | 1 |
(a)
The probability of the person selected being a smoker is
Trending now
This is a popular solution!
Step by step
Solved in 4 steps