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.
a) What is the probability that a koala weighs between 19 and 23 lbs.?
b) What weight puts a koala in the top 5% of weights?
c) What is the probability that the sample mean weight of 45 kolas is at most 21.1 lbs.?
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