Question 366318: The length of a Colorado brook trout is normally distributed. What is the probability that a brook trout’s length:a.) exceeds the mean?b.) exceeds the mean by at least 1 standard deviation?c.) exceeds the mean by at least 2 standard deviations?d.) is within 2 standard deviations?
Answer by robertb(5830)   (Show Source):
You can put this solution on YOUR website! By the property of a normal distribution, the probability that a brook trout's length a.)exceeds the mean is 0.50,
b.) exceeds the mean by at least 1 standard deviation is about 0.16 (by adjusting the 68-95-99.7 rule),
c.)exceeds the mean by at least 2 standard deviations is about 0.025(by adjusting the 68-95-99.7 rule),
d.)is within 2 sd's is 0.95.
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