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Question - Sports and Leisure Most ski resorts operate beginner, intermediate, and advanced terrain in order to appeal to people with varying abilities. The table below lists several ski areas in Canada and the proportion of skiers who attempt the advanced terrain during their visit.

Ski area

Probability

Big White

0.28

Kicking Horse

0.60

Norquay

0.44

Suppose 20 skiers are randomly selected from each area.

a. Find the probability that exactly five skiers at Big White will attempt the advanced terrain.

b. Find the probability that more than eight skiers at Kicking Horse will attempt the advanced terrain.

c. Find the probability that between 12 and 16 (inclusive) skiers at Norquay will attempt the advanced terrain.

d. Find the probability that at most five skiers at all three locations will attempt the advanced terrain.

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