Elizabeth was just a small-town girl living in a lonely world. She was taking the midnight train going anywhere, anywhere of course being home since she had just got off work and was desperately trying to get home and go to sleep. When it comes to the train station, Elizabeth had the choice between two trains the express, that would take her straight home and the regular that had a few stops in between. She estimated that she had a 27% chance of getting the regular instead of the express. Why wouldn’t she get the express, well it has a larger chance of breaking down mid journey, in fact it has a 52% chance of breaking down, while the regular only has a 6% chance of breaking down. Use this to determine the following. 1) What is the probability that she will get on any train that will break down? 2) What is the probability that she will get on the express train and it will not breakdown 3) Given that the train she was on has broken down, what is the probability that she was on the express train? 4) What is the probability that she will get on a train and it will not break down?
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.
Elizabeth was just a small-town girl living in a lonely world. She was taking the midnight train going anywhere, anywhere of course being home since she had just got off work and was desperately trying to get home and go to sleep. When it comes to the train station, Elizabeth had the choice between two trains the express, that would take her straight home and the regular that had a few stops in between. She estimated that she had a 27% chance of getting the regular instead of the express. Why wouldn’t she get the express, well it has a larger chance of breaking down mid journey, in fact it has a 52% chance of breaking down, while the regular only has a 6% chance of breaking down. Use this to determine the following.
1) What is the
2) What is the probability that she will get on the express train and it will not breakdown
3) Given that the train she was on has broken down, what is the probability that she was on the express train?
4) What is the probability that she will get on a train and it will not break down?
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