Question

find the area of the shaded region. the graph depicts the standard normal distribution with mean 0 and standard deviation 1. click to view page 1 of the table. click to view page 2 of the table. the area of the shaded region is . (round to four decimal places as needed.)

Explanation:

Step1: Use z - table concept

We use the standard normal distribution table (z - table) to find the cumulative probability for a given z - score. The z - table gives the area under the standard normal curve to the left of a given z - score.

Step2: Look up z - score in table

For \(z = 0.12\), looking up in the standard normal distribution table, the cumulative probability \(P(Z<0.12)\) is found. The value corresponding to \(z = 0.12\) in the z - table is \(0.5478\).

Answer:

\(0.5478\)