To investigate the wind speed X at CUHK, one hundred observations, #1, x2, ..., ¤100, on X are recorded. On theoretical ground, it is postulated that the probability density function (PDF) of the wind speed at CUHK is f(r; 3) = { 23ze-ße", for æ > 0 0, otherwise where B > 0 is an unknown parameter. (a) Suppose that n observation, X1, X2, ..., X, (not all zeros), constitute a random sample from the distribution f(x; B). Determine the maximum-likelihood estimator

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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.