SOLUTION: Find the value of a and b such that there is 95% chance that Z lies between them, and 0 lies in the middle of them.

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Question 875172: Find the value of a and b such that there is 95% chance that Z lies between them, and 0 lies in the middle of them.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Below: z = 0, z = ± 1, z= ±2 , z= ±3 are plotted.
Note: z = 0 (represents the mean) 50% of the area under the curve is to the left and %50 to the right

++highlight_green%28a+=+-2%29+ , ++highlight_green%28b+=+2%29+
For the normal distribution:
one standard deviation from the mean accounts for about 68% of the set
two standard deviations from the mean account for about 95%
and three standard deviations from the mean account for about 99.7%.
a = -2 and b = 2