Question

find the value that corresponds to the given area in the figure below. use the standard normal distribution table and enter the answer to 2 decimal places. (note: figure not drawn to scale.)

Explanation:

Step1: Find the cumulative area

The cumulative area to the left of \(z\) is \(0.5 - 0.3156=0.1844\)

Step2: Look up the \(z\) - value in the standard normal table

Looking up the value \(0.1844\) in the standard normal distribution table. The closest value to \(0.1844\) in the body of the table. The \(z\) - value corresponding to an area of \(0.1844\) is \(z=- 0.90\)

Answer:

\(-0.90\)