Modern cars provide 'blind-spot monitoring', a light which activates when an adjacent car is de- tected. Unfortunately, the system is not perfect. Given that another car is in the blind spot, the blind-spot light is activated 99.9% of the time. However, the system accidentally activates even when another car is not in the blind spot, this occurs 3% of the time. Assume that another car is in one's blind-spot 2% of the time. i What is the probability that another car is actually in the blind-spot given the light is on? ii Given the blind-spot light is off, how often is another car in the blind-spot?

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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.