SOLUTION: hi i am having trouble to resolve this problem: in a certain distrubution of numbers, the mean is 50 and the standard deviation is 6.What can you say about the percentage of numbe

Algebra ->  Probability-and-statistics -> SOLUTION: hi i am having trouble to resolve this problem: in a certain distrubution of numbers, the mean is 50 and the standard deviation is 6.What can you say about the percentage of numbe      Log On


   

Question 229260: hi i am having trouble to resolve this problem:
in a certain distrubution of numbers, the mean is 50 and the standard deviation is 6.What can you say about the percentage of numbers that lie between 38 and 62?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
in a certain distribution of numbers, the mean is 50 and the standard deviation is 6.
What can you say about the percentage of numbers that lie between 38 and 62?
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Find the z-value of 38 and of 63
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z(38) = (38-50)/6 = -12/6 = -2
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z(62) = (62-50)/6 = 12/6 = 2
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P(38 < x < 62) = P(-2 < z < 2) = 0.9545
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Cheers,
Stan H.