You are running a race, where you will run from one end of a 100 meters long field to another. In between, there are two hurdles you need to jump. One hurdle is 20 meters from the starting end, and the other hurdle is 50 meters from the starting end. You can jump the first hurdle on any given try with probability 0.8. You can jump the second hurdle on any given try with probability 0.6. It takes you 1 second per meter of running. So if you succeeded in jumping both hurdles you would make it in 100 seconds. Any time you don’t successfully jump a hurdle you start over. What is the expected time it takes you to finish the race? (Hint: Condition on what happens in your first attempt at running the race)
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.
You are running a race, where you will run from one end of a 100 meters long field to another. In between, there are two hurdles you need to jump. One hurdle is 20 meters from the starting end, and the other hurdle is 50 meters from the starting end. You can jump the first hurdle on any given try with
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