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?
the probability that a z - score will be 0.91 or less is
(round to four decimal places as needed.)

Explanation:

Step1: Use the standard normal distribution table or technology

The probability that a \(z -\)score is \(z_0\) or less is given by \(P(Z\leq z_0)\). For \(z_0 = 0.91\), using a standard normal table (or a calculator with a normal - distribution function, e.g., in Excel: NORM.S.DIST(0.91, TRUE)), we find the cumulative probability.

Step2: Calculate the value

Using a standard normal table or a calculator, \(P(Z\leq0.91)\approx0.8186\)

Answer:

\(0.8186\)