11.	Deer hunters score the antlers of their quarry in order to compare the most spectacular specimens. White-tailed bucks are given a score based on lenghs and circumferences of their antlers. These scores are nomally distributed with a mean of 133 and a standard deviation of 18.
	(a)	Describe the graph of the scores for white-tailed buck antlers by telling the shape, naming the value at the peak, and giving the horizontal scale values three standard deviations to the left and three standard deviations to the right of the mean.
		shape:
		peak:
		left scale:
		right scale:
	(b)	Find the probability that a randomly selected white-tailed buck in a herd has an antler score of more than 150; that is, find P(x > 150). Based upon your result, explain mathematically whether or not it is unusual for a score to be more than 150.
	(c)	Suppose all possible samples of size 25 are taken from herds of white-tailed bucks, and the mean is found for each resulting sample. Describe the graph of the antler scores, and give the horizontal scale values three standard deviations to the left and three standard deviations to the right of the mean. Hint: Apply the Central Limit Theorem!
		shape:
		peak:
		left scale:
		right scale:
	(d)	Using these samples of size 25, find the probability that the score is greater than 141. Based upon your result, state whether or not it is unusual to randomly select a sample of 25 white-tailed bucks that has a mean greater than 141, and explain why you chose "unusual" or "not unusual" as your answer.
	(e)	Find the probability that the score from a sample of 25 white-tailed bucks will be between 125 and 140.