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Question

# Find the indicated probability using the standard normal distribution. If convenient, use technology to find the probability. $P(z < -1.22$ or $z > 1.32)$

Solution

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Given:

$P(Z<-1.22\text{ or }Z>1.32)$

$\textbf{Area to the left}$

We are interested in the area to the left of the z-score $-1.22$ and since the area represents a probability, it represents the probability that the z-score is less than $-1.22$:

$P(Z<-1.22)$

The probability $P(Z<-1.22)$ can then be found in the row starting with $-1.2$ and in the column with $.02$ of the standard normal table in the appendix.

$P(Z<-1.22)=0.1112$

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