For a standard normal random variable with mean fo 0 and STD

For a standard normal random variable with mean fo 0 and STD of 1.

1. find the upper and lower fence

2. The probability that the r. variable exceeds the upper & lower fence.

3. Probability for an outlier

Solution

For std normal variate Z, lower and upper fence is -3 to +3

2) Prob (X>3 or x<-3) = 0.0010+0.0010= 0.0020

3) Prob for outlier = (Prob |x|>3) = 0.0020