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Koalas are considered to be “cute” creatures that weigh between 15 and 30 pounds. Suppose it...

Koalas are considered to be “cute” creatures that weigh between 15 and 30 pounds. Suppose it is known that koalas have an average weight of 20.45 lbs. with a standard deviation of 2.95 lbs.

  1. a) What is the probability that a koala weighs between 19 and 23 lbs.?

  2. b) What weight puts a koala in the top 5% of weights?

  3. c) What is the probability that the sample mean weight of 45 kolas is at most 21.1 lbs.?

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