Given the probability:
[tex]P(Z>-1.79)[/tex]To find this probability, you have to use the tables for the standard normal distribution. These tables show the accumulated probability for the Z-distribution, this means that you can find the probability up to a determined Z-value. To find the probability above a determined Z-value you have to use the complementary probability, that is:
[tex]P(Z>-1.79)=1-P(Z\leq-1.79)[/tex]- First, use the Z-table to find the accumulated probability until Z=-1.79, the Z-value is negative, so you have to use the left entry of the table:
In the first column, you will find the first two digits of the Z-value, and in the first two, you will find the third digit of the Z-value, and in the body of the table, all accumulated probabilities are listed.
Cross the corresponding row and column to find the accumulated probability:
Then the accumulated probability until -1.79 is:
[tex]P(Z\leq-1.79)=0.0367[/tex]Now that you found the accumulated probability, you can use the complement to find the probability above -1.79
[tex]\begin{gathered} P(Z>-1.79)=1-P(Z\leq-1.79) \\ P(Z>-1.79)=1-0.0367 \\ P(Z>-1.79)=0.9633 \end{gathered}[/tex]
