Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

find the z - score that has 1.899% of the distributions area to its lef…

Question

find the z - score that has 1.899% of the distributions area to its left. the z - score is . (round to two decimal places as needed.)

Explanation:

Step1: Convert percentage to decimal

We convert 1.899% to a decimal. $1.899\%=\frac{1.899}{100}=0.01899$.

Step2: Use z - table

We look up the value 0.01899 in the standard normal distribution (z - table). The closest value in the body of the z - table to 0.01899 gives us the z - score. Looking up the value in the z - table, the z - score corresponding to an area of approximately 0.01899 to the left is -2.08.

Answer:

-2.08