In the following probability distribution, the random variable X represents the number of activities a parent of a 6th-8th grade student is involved in. a) Verify that this is a discrete probability distribution. b) Compute the standard deviation of the random variable X c) What is the probability that a randomly selected student has a parent involved in more than 2 activities? X P(X) 0 0.073 1 0.117 2 0.258 3 0.322 4 0.23
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 the following probability distribution, the random variable X represents the number of activities a parent of a 6th-8th grade student is involved in.
a) Verify that this is a discrete probability distribution.
b) Compute the standard deviation of the random variable X
c) What is the probability that a randomly selected student has a parent involved in more than 2 activities?
| X | P(X) | |
| 0 | 0.073 | |
| 1 | 0.117 | |
| 2 | 0.258 | |
| 3 | 0.322 | |
| 4 | 0.23 | |
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