Roll a fair four-sided dice with values of {1, 2, 3, 4} a first roll. Then continue to throw the same dice until you hit a value that is at least as large as the first. Let Y indicate the number of throws in addition to the first and let X indicate the value of the first throw. (a) Determine the conditional wait value E (Y | X). (b) Determine E (Y). (c) Calculate MGF E(e^sY).
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.
Roll a fair four-sided dice with values of {1, 2, 3, 4} a first roll. Then continue to throw the same dice until you hit a value that is at least as large as the first. Let Y indicate the number of throws in addition to the first and let X indicate the value of the first throw.
(a) Determine the conditional wait value E (Y | X).
(b) Determine E (Y).
(c) Calculate MGF E(e^sY).
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