Question

use technology to find the indicated area under the standard normal curve. include an appropriately labeled sketch of the normal curve and shade the appropriate region.
a find the probability that a z - score will be 0.91 or less.
b find the probability that a z - score will be 0.91 or more.
c find the probability that a z - score will be between - 1.4 and - 1.04
a. which graph below shows the probability that a z - score is 0.91 or less?
oa.
ob.
oc.
od.

Explanation:

Step1: Analyze the meaning of "z - score is 0.91 or less"

The probability that a z - score is 0.91 or less means the area to the left of \(z = 0.91\) under the standard normal curve.

Step2: Check each graph

• Graph A: The shaded area is to the left of \(z = 0.91\), which represents the probability that \(Z\leqslant0.91\).
• Graph B: The shaded area is between \(z=- 0.91\) and \(z = 0.91\), which represents \(P(-0.91\leqslant Z\leqslant0.91)\).
• Graph C: The shaded area is to the right of \(z = 0.91\), which represents \(P(Z\geqslant0.91)\).
• Graph D: The shaded areas are to the left of \(z=-0.91\) and to the right of \(z = 0.91\), which represents \(P(Z\leqslant - 0.91)+P(Z\geqslant0.91)\).

Answer:

A.