Question

If Z has a standard normal probability distribution, find P(Z > −0.75).

Answer 1

Given that Z has a standard normal probability distribution, you need to find the following Probability:

`P(Z>-0.75)`

Therefore, you can find it using the Standard Normal Distribution Table.

By symmetry, you can determine that:

`P(Z>-0.75)=1-P(Z<-0.75)`

Using the Standard Normal Distribution Table (Left Tail), you get that:

`P(Z<-0.75)\approx0.2266`

Therefore:

`P(Z>-0.75)=1-0.2266\approx0.7734`

Hence, the answer is:

`P(Z>-0.75)\approx0.7734`