Question

find the indicated z - score. the graph depicts the standard normal distribution with mean 0 and standard deviation 1. the indicated z - score is (round to two decimal places as needed).

Explanation:

Step1: Use z - table concept

We know that the area to the left of the z - score in a standard normal distribution is what we use from the z - table. The given area to the right of the z - score is 0.1271. So the area to the left of the z - score, $A=1 - 0.1271=0.8729$.

Step2: Look up in z - table

We look up the value 0.8729 in the body of the standard normal (z -) table. The closest value in the table to 0.8729 gives us the z - score. Looking up 0.8729 in the z - table, we find that the z - score corresponding to this area is approximately 1.14.

Answer:

1.14