SOLUTION: A normally distributed population has a mean of 60 and a standard deviation of 6. Compute the probability of a value between 51 and 66. ________ Compute the probability of a

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Question 178099: A normally distributed population has a mean of 60 and a standard deviation of 6.
Compute the probability of a value between 51 and 66. ________
Compute the probability of a value less than 51. ________
Compute the probability of a value greater than 72. ________

Answer by gonzo(654)   (Show Source): You can put this solution on YOUR website!
mean = 60
standard deviation is 6
66 would be 1 standard deviation from the mean.
51 would be -1.5 standard deviations from the mean.
72 would be 2 standard deviations above the mean.
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not sure if you are allowed to use a calculator or whether you have to calculate this by hand.
assuming you can use a calculator, go to this website and it will do the calculations for you.
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http://psych.colorado.edu/~mcclella/java/normal/accurateNormal.html
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your first problem was the probability of getting a value between 51 and 66.
answer would be: .7745
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your second problem was the probability of getting a value less than 51.
answer would be: .0668
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your third problem was the probability of getting a value greater than 72.
answer would be: .0228
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go to that website, enter the information required, and your answer will show up on the upper left side of the curve.
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they used to have tables where you could look up the value.
now they use calculators.
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the probability is really the area under the curve that applies to the intervals that you select.
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