A ballet instructor is interested in knowing what percent of each year's class will continue on to the next, so that she can plan what classes to offer. Over the years, she has established the following probability distribution. • Let X = the number of years a student will study ballet with the teacher. • Let P(x) = the probability that a student will study ballet x years. x P(x) x*P(x) 1 0.10 2 0.10 3 0.20 4 5 0.25 6 0.20 7 0.05 What does the column "x *P(x)" sum to? (Enter an exact number as an integer, fraction, or decimal.) What is the name for the value that is the sum of all x · P(x)?
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 ballet instructor is interested in knowing what percent of each year's class will continue on to the next, so that she can plan what classes to offer. Over the years, she has established the following
| • | Let X = the number of years a student will study ballet with the teacher. |
| • | Let P(x) = the probability that a student will study ballet x years. |
|
x
|
P(x)
|
x*P(x)
|
|---|---|---|
| 1 | 0.10 | |
| 2 | 0.10 | |
| 3 | 0.20 | |
| 4 | ||
| 5 | 0.25 | |
| 6 | 0.20 | |
| 7 | 0.05 |
What does the column "x *P(x)" sum to? (Enter an exact number as an integer, fraction, or decimal.)
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