You roll a fair, four-sided die twice. Let the random variable X = "number of times rolled on the number 4," with x = 0, 1, 2.Which histogram shows the correct probability distribution based on the scenario above? (choose one of three graphs in image)
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.
You roll a fair, four-sided die twice. Let the random variable X = "number of times rolled on the number 4," with x = 0, 1, 2.Which histogram shows the correct probability distribution based on the scenario above? (choose one of three graphs in image)
Given that X=the number of times rolled on the number 4
n=sample size=2
p=probability of success==0.25 (because it is a 4 sided die)
Using binomial distribution we get:
| x | binomial distribution | probability |
| 0 | 0.5625 | |
| 1 | 0.375 | |
| 2 | 0.0625 | |
| total | 1 | 1 |
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