In: Statistics and Probability
Question 1. Airports can be identified globally with a 3-digit letter code (e.g., YYZ for Toronto Pearson, and CDG for Charles de Gaulle in Paris). All possible combinations of letters A-Z can be used.
1a. What is the probability of selecting an airport at random and it being Montreal’s YUL?
1b. What is the probability of selecting one of London England’s six major airports?
1c. What is the probability of selecting an airport with two letter Y’s, (e.g., YYZ, YXY)?
1d. What is the probability of selecting an airport code where each letter is used only once (e.g., not YYZ, DBD, but something like LAX, LUA)?
1e. What percent of airport codes contain a letter that appears more than once?
1f. A frequent flyer has been to 305 different airports around the world. If you pick an airport at random, what is the probability that they have been to it?
1g. What is the probability of selecting one of Canada’s 518 airports?
1h. Interestingly, Canadian airports often start with a Y (e.g., YEG, YQX YHM). In fact, 88.61% of Canadian airports codes start with the letter Y. Given this information what is the probability that an airport code starting with Y is in Canada?
1i. In reference to 1g and 1h, if you select an airport code that does not start with the letter Y, what is the probability of it being in Canada?
1j. What is the probability of selecting an airport code which both starts with Y and is in Canada?