What percentage of observations that fall beyond a z score o

What percentage of observations that fall beyond a z score of -1.47 and a z score of 1.11?

Solution

P(Z < -1.47) + P(Z > 1.11) = P(Z < -1.47) + 1 - P(Z > 1.11)

So, P(Z < -1.47) + P(Z > 1.11) = 0.0708 + 1 - 0.8665 = 0.2043

Hence 20.43% of data lies beyond the given interval.