SOLUTION: If the random variable z is the standard normal score and a > 0, is it true that P(0 < z < a) = 1 - P(z < a)? Why or why not?

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Question 636562: If the random variable z is the standard normal score and a > 0, is it true that P(0 < z < a) = 1 - P(z < a)? Why or why not?
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
Important to Understand z -values as they relate to the Standard Normal curve:
Note: z = 0 (x value, the mean) 50% of the area under the curve is to the left and 50% to the right
P(0 < z < a) = P(z < a) - .5 when a > 0. Below example, z = 1.5
P(z < 1.5) represents the % of the area under the curve that is to the left of z = 1.5

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