Random variable X has mean μX = 24 and standard deviation σX = 6. Random variable Y has mean μY = 14 and standard deviation σY = 4. A new random variable Z was formed, where Z = X + Y. What can we conclude about X, Y, and Z with certainty? That is, which one is true? Select one: a. μZ = 38 σZ = 7.211 X and Y are independent b. μZ = 38 σZ = unknown X and Y are independent c. μZ = 38 σZ = 6 X and Y are related d. μZ = 38 σZ = 10 X and Y are mutually exclusive
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.
Random variable X has mean μX = 24 and standard deviation σX = 6. Random variable Y has mean μY = 14 and standard deviation σY = 4. A new random variable Z was formed, where Z = X + Y. What can we conclude about X, Y, and Z with certainty? That is, which one is true?
μZ = 38 σZ = 7.211 X and Y are independent
μZ = 38 σZ = unknown X and Y are independent
μZ = 38 σZ = 6 X and Y are related
μZ = 38 σZ = 10 X and Y are mutually exclusive
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