In a survey conducted to see how long Americans keep their cars, 2000 automobile owners were asked how long they plan to keep their present cars. The results of the survey follow. Find the probability distribution associated with these data. (Enter your answers to four decimal places.) Years Car Is Kept, x Respondents Probability 0 ≤ x < 1 55 1 ≤ x < 3 430 3 ≤ x < 5 330 5 ≤ x < 7 330 7 ≤ x < 10 235 10 ≤ x 620 What is the probability that an automobile owner selected at random from those surveyed plans to keep his or her present car: (a) Less than five years? (b) 3 years or more?
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.
In a survey conducted to see how long Americans keep their cars, 2000 automobile owners were asked how long they plan to keep their present cars. The results of the survey follow. Find the
| Years Car Is Kept, x | Respondents | Probability |
|---|---|---|
| 0 ≤ x < 1 | 55 | |
| 1 ≤ x < 3 | 430 | |
| 3 ≤ x < 5 | 330 | |
| 5 ≤ x < 7 | 330 | |
| 7 ≤ x < 10 | 235 | |
| 10 ≤ x | 620 |
What is the probability that an automobile owner selected at random from those surveyed plans to keep his or her present car:
(b) 3 years or more?
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