SOLUTION: For a normal distribution curve with a mean of 7 and a standard deviation of 5, which of the following ranges of the variable will define an area under the curve corresponding to a

Algebra ->  Probability-and-statistics -> SOLUTION: For a normal distribution curve with a mean of 7 and a standard deviation of 5, which of the following ranges of the variable will define an area under the curve corresponding to a      Log On


   

Question 1085612: For a normal distribution curve with a mean of 7 and a standard deviation of 5, which of the following ranges of the variable will define an area under the curve corresponding to a probability of approximately 34%?

A. from 4.5 to 9.5

B. from 2 to 12

C. from 7 to 12

D. from –3 to 17
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
34% corresponds to a z score of 0.42.
.
.
P%28z=0.42%29-P%28z=-0.42%29=0.34
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.
.
0.44=%28X+%2B-+7%29%2F5
+2.2=X+%2B-+7
X=7+%2B-+2.2
X%5Bup%5D=9.2
X%5Blow%5D=4.8
None of the answers corresponds to this number but the closest is A.