expected commute time
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 commuter has 2 choices when driving home from work. Choice 1 takes 5
minutes. Choice 2 takes either 3 minutes or 6 minutes or 10 minutes depending on
the waiting time when making a left turn. The commuter knows that the probability
distribution for the waiting time to make the left turn is a discrete random variable X
(minutes) with values 0, 3, 7 and P(0) = .65, P(3) = .20 and P(7) = .15.
If the commuter uses the minmax strategy which way should he go?
If the commuter wants to minimize the expected commute time which way should
he go?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9636fd96-adfc-408a-a92d-d4c7f53d9a40%2F36a00f12-9319-4d55-a27c-7759375b4008%2Fgq1k79k_processed.png&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
The commuter knows the Probability Distribution for the waiting time when making a left turn.
X Discrete Random Variable
the probability given are P(0)=0.65, P(3)=0.20, P(3)=0.20, P(7)=0.15.
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