A student takes the campus shuttle bus to reach the classroom building. The shuttle bus arrives at his stop every 15 minutes but the actual arrival time at the stop is random. The student allows 10 minutes waiting time for the shuttle in his plan to make it in time to the class. a. What is the expected waiting time? What is the variance? b. What is the probability that the wait will be between four and six minutes? c. What is the probability that the student will be in time for the class? d. If he wants to be 95% confident of being on time for the class, how much time should he allow for waiting for the shuttle?
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.
A student takes the campus shuttle bus to reach the classroom building. The
shuttle bus arrives at his stop every 15 minutes but the actual arrival time at the stop
is random. The student allows 10 minutes waiting time for the shuttle in his plan to
make it in time to the class.
a. What is the expected waiting time? What is the variance?
b. What is the probability that the wait will be between four and six minutes?
c. What is the probability that the student will be in time for the class?
d. If he wants to be 95% confident of being on time for the class, how much
time should he allow for waiting for the shuttle?
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