A sample of 200 new cars were checked for defects. The following table shows the results of the study. Fewer than Six Defects Six or More Defects Total American Built 57 65 122 Foreign Built 36 42 78 Total 93 107 200 One car is selected at random. Round your answers to two decimals. (a) What is the probability a randomly selected car was American built? (b) What is the probability that a randomly selected car had fewer than six defects, given that it is foreign built? (c) What is the probability that a randomly selected car was American AND had six or more defects? (d) What is the probability that a randomly selected car was American OR had six or more defects?
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.
A sample of 200 new cars were checked for defects. The following table shows the results of the study.
|
Fewer than Six Defects |
Six or More Defects |
Total | |
|---|---|---|---|
| American Built | 57 | 65 | 122 |
| Foreign Built | 36 | 42 | 78 |
| Total | 93 | 107 | 200 |
One car is selected at random. Round your answers to two decimals.
(a) What is the probability a randomly selected car was American built?
(b) What is the probability that a randomly selected car had fewer than six defects, given that it is foreign built?
(c) What is the probability that a randomly selected car was American AND had six or more defects?
(d) What is the probability that a randomly selected car was American OR had six or more defects?
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