The table shows the results of test-firing 25 ground to air missiles at targets of various speeds (x knots). y is binary variable taking values 0 (for miss) and 1 (for hit). Source: Montgomery & Peck 410 0 210 1 490 0 410 1 5000 270 0 200 1 470 0 480 0 300 1 2401 490 0 420 0 330 1 280 1 210 1 300 1 450 1 230 0 430 0 460 0 220 1 250 1 200 1 400 0 (Note: 410, 210, 490 are values of x and corresponding y's for them are 0, 1, 0)
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.
Estimate the probability that a missile fired at speed x = 350 knots will hit the target.
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