Assume the weight of Koala bears is normally distributed with a mean of 21 lbs and a standard deviation of 5.4 lbs. (a) Draw the appropriate shaded region of the normal distribution. Find the probability that a randomly selected koala bear will weigh more than 30 lbs? (b) Find the weight of a Kaola bear at the 10th percentile. (c) If a sample of 40 koala bears are weighed, what is the probability that the mean weight of this sample would be between 20 lbs and 22 lbs? Verify the conditions of the CLT. Draw the appropriate shaded region of the normal distribution.

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Assume the weight of Koala bears is normally distributed with a mean of 21 lbs and a standard
deviation of 5.4 lbs.
(a) Draw the appropriate shaded region of the normal distribution. Find the probability that a randomly
selected koala bear will weigh more than 30 lbs?
(b) Find the weight of a Kaola bear at the 10th percentile.
(c) If a sample of 40 koala bears are weighed, what is the probability that the mean weight of this sample
would be between 20 lbs and 22 lbs? Verify the conditions of the CLT. Draw the appropriate shaded region
of the normal distribution.

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