Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

find the z - score that has 84.85% of the distributions area to its rig…

Question

find the z - score that has 84.85% of the distributions area to its right. click to view page 1 of the table. click to view page 2 of the table. a. - 1.03 b. - 0.39 c. 0.39 d. 1.03

Explanation:

Step1: Recall the property of the standard - normal distribution

The total area under the standard - normal curve is 1. If 84.85% (or 0.8485) of the area is to the right of the z - score, then the area to the left of the z - score is $1 - 0.8485=0.1515$.

Step2: Use the z - table

We look up the value 0.1515 in the body of the standard - normal (z) table. The closest value to 0.1515 in the z - table corresponds to a z - score of approximately - 1.03.

Answer:

A. - 1.03