In its journey a bus passes through 5 traffic lights, each light has the same probability of being on red or green, independent of the others. a)Determine the p.m.f., mean and variance of the number of red lights that the bus encounters on red. b)Assume that each red light delays the bus by exactly 2 minutes. Determine the variance of the bus delay caused by the traffic lights.
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.
In its journey a bus passes through 5 traffic lights, each light has the same probability of being on red or green, independent of the others.
a)Determine the p.m.f., mean and variance of the number of red lights that the bus encounters on red.
b)Assume that each red light delays the bus by exactly 2 minutes. Determine the variance of the bus delay caused by the traffic lights.
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