A variable y of a finite population has the following frequency distribution: y 1 2 3 4 f 2 2 10 6 Suppose a member is selected at random from the population and let Y denote the value of the variable y for the member obtained. a. Determine the probability distribution of the random variable Y .b. Use random-variable notation to describe the events that Y takes on the value 3, a value less than 3, and a value of at least 3.c. Find P(Y = 3), P(Y< 3), and P(Y ≥ 3). Interpret your results.d. Construct a probability histogram for the random variable Y.
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 variable y of a finite population has the following frequency distribution:
| y | 1 | 2 | 3 | 4 |
| f | 2 | 2 | 10 | 6 |
Suppose a member is selected at random from the population and let Y denote the value of the variable y for the member obtained.
a. Determine the
b. Use random-variable notation to describe the
c. Find P(Y = 3), P(Y< 3), and P(Y ≥ 3). Interpret your results.
d. Construct a probability histogram for the random variable Y.
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