A professor sees students during regular office hours. Time spent with students follows an exponential distribution with a mean of 10 minutes.a. Find the probability that a given student spends fewer than 20 minutes with the professor.b. Find the probability that a given student spends more than 5 minutes with the professor.c. Find the probability that a given student spends between 10 and 15 minutes with the professor.
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 professor sees students during regular office hours. Time spent with students follows an exponential distribution with a mean of 10 minutes.
a. Find the probability that a given student spends fewer than 20 minutes with the professor.
b. Find the probability that a given student spends more than 5 minutes with the professor.
c. Find the probability that a given student spends between 10 and 15 minutes with the professor.
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