If X is Bin(200, 0.5) (1) What is the expectation and variance of X? (2) Which approximation is better? Poisson or normal, justify your answer. (3) Using your approximation, find the approximate probability of X=102. (4) Using your approximation, find the approximate probability of X no less than 108. please explain fully with all the steps
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 X is Bin(200, 0.5)
(1) What is the expectation and variance of X?
(2) Which approximation is better? Poisson or normal, justify your answer.
(3) Using your approximation, find the approximate
(4) Using your approximation, find the approximate probability of X no less than 108.
please explain fully with all the steps
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