ASAPP!!!John drives and there are traffic lights on his routes. When all traffic lights on his route aregreen, the entire trip takes 18 minutes. JohnŠs route includes 5 traffic lights, each of whichis red with probability 1/3, independent of every other light. Each red traffic light that heencounters adds 1 minute to his commute. (a)Find the expectation, and variance of the length (in minutes) of John’s commute. (b)What is the pmf of the length (in minute) of John’s commute? (c)Given that John’s commute took him at most 19 minutes, what is the expected numberof red lights that he encountered? (d)Given that John encountered a total of three red lights, what is the probability thatexactly two out of the first three lights were red?
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.
ASAPP!!!John drives and there are traffic lights on his routes. When all traffic lights on his route aregreen, the entire trip takes 18 minutes. JohnŠs route includes 5 traffic lights, each of whichis red with
(a)Find the expectation, and variance of the length (in minutes) of John’s commute.
(b)What is the pmf of the length (in minute) of John’s commute?
(c)Given that John’s commute took him at most 19 minutes, what is the expected numberof red lights that he encountered?
(d)Given that John encountered a total of three red lights, what is the probability thatexactly two out of the first three lights were red?
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