Professor Stancey lives in a small town, where he has the option to take one out of two available routes on his way back from work. There are 4 railroad crossings in the first route. The trains all operate independently at the four crossings and the chance that he will be stopped at any particular one crossing is 0.1. Although the second route is longer, but it is blocked by two crossings that operate independently of each other and the probability that he will be stopped at a particular crossing is 0.1. On a random Monday, Professor Stancey has a meeting that he needs to attend urgently. His mental calculation reveals that regardless of the route he takes, he will be late if he is stopped by a train on at least half of the crossings that come in his way. Which route should Professor Stancey take to minimize the chances of him being late to the important meeting? If he flips a coin to decide the route and he is late, what is the probability that he took the route that had 4-crossings?
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.
Professor Stancey lives in a small town, where he has the option to take one out of two available routes on his way back from work. There are 4 railroad crossings in the first route. The trains all operate independently at the four crossings and the chance that he will be stopped at any particular one crossing is 0.1. Although the second route is longer, but it is blocked by two crossings that operate independently of each other and the
- Which route should Professor Stancey take to minimize the chances of him being late to the important meeting?
- If he flips a coin to decide the route and he is late, what is the probability that he took the route that had 4-crossings?
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
