Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

find the percent of the total area under the standard normal curve betw…

Question

find the percent of the total area under the standard normal curve between the following z - scores.
z = - 1.1 and z = - 0.75
click here to see page 1 of the table for areas under the standard normal curve.
click here to see page 2 of the table for areas under the standard normal curve.

the percent of the total area between z = - 1.1 and z = - 0.75 is
(round to the nearest integer.)

Explanation:

Step1: Find area for z = -1.1

Using standard - normal table, the area to the left of $z=-1.1$ is $0.1357$.

Step2: Find area for z = -0.75

Using standard - normal table, the area to the left of $z = - 0.75$ is $0.2266$.

Step3: Calculate the area between the two z - scores

The area between $z=-1.1$ and $z=-0.75$ is $0.2266 - 0.1357=0.0909$.

Step4: Convert to percentage

To convert the area to a percentage, multiply by 100: $0.0909\times100 = 9.09\%$.

Step5: Round to nearest integer

Rounding $9.09\%$ to the nearest integer gives $9\%$.

Answer:

$9$