SOLUTION: What percentage of the area of the standard normal distribution is between z = -2.00 and z = +2.00? How do you know this?

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Question 613676: What percentage of the area of the standard normal distribution is between z = -2.00 and z = +2.00? How do you know this?
Found 2 solutions by jim_thompson5910, ewatrrr:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Using the empirical rule, roughly 68% of the distribution is between z = -1 and z = 1. Also, about 95% of the distribution lies between z = -2 and z = 2. Finally, roughly 99.7% of the distribution is between z = -3 and z = 3

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi, 

What percentage of the area of the standard normal distribution is between z = -2.00 and z = +2.00? 

two standard deviations from the mean account for about 95.45%

 P(-2< z <2 ) = NORMSDIST(2) - NORMSDIST(-2) = .97725 - .02275 = .9545 OR 95.45%