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2. The heights of horses who compete in the Melbourne Derby are normally distributed with a mean of 66 inches and a standard deviation of

2. The heights of horses who compete in the Melbourne Derby are normally distributed with a mean of 66 inches and a standard deviation of 3 inches.

(a) If a horse is randomly selected from this race, what height would you expect it to be?

(b) What percentage of horses who compete in the Melbourne Derby have heights between 60 and 72 inches?

(c) In a particular year there are 25 horses running in the Melbourne Derby. How many of these would you expect to have a height of less than 63 inches?

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