3 arctan x – x 11. Evaluate the lim- limit using the known Taylor series representations for sin x arctangent and sine. Show the expansions and the cancellations. (2n+1) п X (2n+1) sinx Σ(-1), (2n +1)! For þx| <1, arctan x = 2(-1)" · 2n +1' n=0 n=0 3 arctan x – x lim = lim sin x х>0 (expand numerator and denominator into terms)

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Q: 4. Fill in the following contingency table with the number of observations that fall into each com-…

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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.