SOLUTION: HI, Can you please help me solve this question: What is the probability that an observation is at least one standard deviation above and below the mean?

Algebra ->  Probability-and-statistics -> SOLUTION: HI, Can you please help me solve this question: What is the probability that an observation is at least one standard deviation above and below the mean?      Log On


   

Question 324796: HI, Can you please help me solve this question: What is the probability that an observation is at least one standard deviation above and below the mean?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the z score for each.
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Below
x=mu-sigma
z=%28x-mu%29%2Fsigma=-sigma%2Fsigma=-1
P%28-1%29=0.048394
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Above
x=mu%2Bsigma
z=sigma%2Fsigma=1
P%281%29=0.048394
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They are the same since the normal distribution function is symmetric about the mean, mu.