SOLUTION: IQs are normally distributed with mean 100 and standard deviation 16. a) Less than 110 P(110<x)= b) Between 110 and 130 P(110<x<130)= c) More than 130 P(1

Algebra ->  Probability-and-statistics -> SOLUTION: IQs are normally distributed with mean 100 and standard deviation 16. a) Less than 110 P(110<x)= b) Between 110 and 130 P(110<x<130)= c) More than 130 P(1      Log On


   



Question 1007909: IQs are normally distributed with mean 100 and standard deviation 16.
a) Less than 110
P(110 b) Between 110 and 130

P(110 c) More than 130
P(130 that is how i had it set up... am i just taking (iq score - mean) and dividing it by 16 to get the percentage? what do i with less, between or more though?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
IQs are normally distributed with mean 100 and standard deviation 16.
a) Less than 110
P(x < 110) = ?
z(110) = (110-100)/16 = 5/8
P(x < 110) = P(z < 5/8) = normalcdf(-100,5/8) = 0.7340
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b) Between 110 and 130
z(130) = (130-100)/16 = 30/16 = 15/8
P(110 < x < 130) = P(5/8 < z < 15/8) = normalcdf(5/8,15,8) = 0.2356
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I'll leave the rest to you.
Cheers,
Stan H.
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P(110 c) More than 130
P(130 that is how i had it set up... am i just taking (iq score - mean) and dividing it by 16 to get the percentage? what do i with less, between or more though?