In the 1980s, a Canadian psychologist noticed that about 40% of hockey players in elite Canadian leagues were born between January and March and only 10% were born between October and December. The reason is that the cutoff birthdate for age-based youth leagues in Canada is January 1st . So a boy that turns ten in January could be playing alongside a boy that doesn't turn ten until December. The extra months of growth at that age are enough so that players born toward the end of the year tended to get weeded out in the youth leagues over time and the effect can be seen all the way up into the NHL. There is a correlation then between birth month and making it to the NHL (if you're Canadian).

a) Are the events "selecting a Canadian hockey player born between January and March" and "making it to the NHL" independent or dependent?

b) Are the events "selecting a Canadian hockey player born between October and December" and "making it to the NHL" mutually exclusive?

c) What is the complement of the event "making it to the NHL"?