The organizers of the Canada Games are interested to know whether there is any association between triathlon medalists and regions. A medalist is an athlete who placed in the top 3. The regions are Western Canada (British Columbia, Alberta, Saskatchewan, Manitoba), Central Canada (Ontario, Quebec), and Atlantic Canada (New Brunswick, Nova Scotia, Prince Edward Island, Newfoundland and Labrador). Consider the following table summarizing the number of triathletes that competed in the Individual Sprint Triathlons in the 2009, 2013, and 2017 Canada Games.

A Canada Games triathlete is chosen at random.

a) What is the probability that they are an Atlantic Canada medalist?

b) What is the probability that they won a medal given that they are from Central Canada?

c) What is the probability that they are a non-medalist and are not from Atlantic Canada?

d) Test at the 5% significance level the claim that medalist is independent from region. (Hint: Use the test of independence.) Does it appear that certain regions perform better in triathlon events?

	Medal	Non-medal
Western	11	56
Central	6	30
Atlantic	1	61