Let N ∼ P oiss(λ) and let Xi be iid Ber(1/2) random variables that take on the values {0, 1} where P(X = 1) = p. Here we assume that N is independent of Xi. What is the PMF of S = E (from I= 1 to N) Xi?What kind of random variable is this?
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.
Let N ∼ P oiss(λ) and let Xi be iid Ber(1/2) random variables that take on the values {0, 1} where P(X = 1) = p. Here we assume that N is independent of Xi. What is the PMF of S = E (from I= 1 to N) Xi?
What kind of random variable is this?
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