The following table represents the probability of the number of cars owned by a college student. Give your answer to at least 3 decimal places. x P(x) 0 0.48 1 0.33 2 0.12 3 0.07 a) Is this a valid discrete probability distribution? Select an answer No, since Σ P(x) ≠ 1 and P(x) < 0 Yes, since Σ P(x) ≠ 1 and P(x) > 0 Yes, since Σ P(x) = 1 and 0 ≤ P(x) ≤ 1 No, since Σ P(x) = 1 and 0 ≤ P(x) ≤ 1 b) Find the mean number of cars owned. c) Find the standard deviation of the number of cars owned. d) Find σ2σ2 .
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 table represents the probability of the number of cars owned by a college student. Give your answer to at least 3 decimal places.
| x | P(x) |
| 0 | 0.48 |
| 1 | 0.33 |
| 2 | 0.12 |
| 3 | 0.07 |
a) Is this a valid discrete probability distribution? Select an answer No, since Σ P(x) ≠ 1 and P(x) < 0 Yes, since Σ P(x) ≠ 1 and P(x) > 0 Yes, since Σ P(x) = 1 and 0 ≤ P(x) ≤ 1 No, since Σ P(x) = 1 and 0 ≤ P(x) ≤ 1
b) Find the mean number of cars owned.
c) Find the standard deviation of the number of cars owned.
d) Find σ2σ2 .
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