If you roll a die, you get one of the following numbers: 1, 2, 3, 4, 5, 6. Each possibility occurs with equal probability of 1/6. The expected value of a dice roll is E(D) = 3.5 and the variance of a dice roll is Var(X) = 2.917. b) Suppose you roll a die and then multiply the roll by 2 to get a new random variable taking one of the following numbers: 2, 4, 6, 8, 10, 12. What is the variance of this new random variable?
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.
If you roll a die, you get one of the following numbers: 1, 2, 3, 4, 5, 6. Each
possibility occurs with equal probability of 1/6. The expected value of a dice roll is E(D) = 3.5 and the variance of a dice roll is Var(X) = 2.917.
b) Suppose you roll a die and then multiply the roll by 2 to get a new random variable taking one of the following numbers: 2, 4, 6, 8, 10, 12. What is the variance of this new random
variable?
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