Respuesta :

The value of z such that 0.09 of the are lies to the right will be found as follows:
P(X>x)=0.09
thus
P(X<X)=1-0.09=0.91
thus
P(z<Z) will found by looking in the z-table for the value that corresponds to:
P(x<x)=0.91
hence
z=1.34
Hence the answer is:
z=1.34

The value of z is 1.34.

We have given that,the value of z such that 0.09 of the area lies to the right of z

What is the meaning of the area lies right to of z?

The area to the right of a z-score where z is less than the mean.

The value of z such that 0.09 of the are lies to the right will be found as follows

P(X>x)=0.09

Therefore, we get P(X<X)=1-0.09=0.91

So,P(z<Z) will found by looking in the z-table for the value that corresponds to

P(x<x)=0.91

hence z=1.34

Hence the value of z is 1.34.

To learn more about the z score visit:

https://brainly.com/question/25638875