SOLUTION: Assume the IQ score of the students at your university are normally distributed with µ = 115 and Ơ = 8. If you randomly sample one score from this distribution, what is the pr

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Question 978628: Assume the IQ score of the students at your university are normally distributed with µ = 115 and Ơ = 8. If you randomly sample one score from this distribution, what is the probability it will be
a. Higher than 130?
b. Between 110 and 125?
c. Lower than 100?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
z=(x-mean)/sd
=(130-115)/8 =1.875
Probability z>1.875 (should be small): 0.0304
Similarly the next one is z between (-.625 and +1.125), as it is -5/8 and +10/8
That should be fairly large, and it is 0.6037
Lower than 100 is -1.875 for z, and that is the same as being greater than 130, or 0.0304