Question

find the indicated z score. the graph depicts the standard normal distribution with mean 0 and standard deviation 1.
the indicated z score is
(round to two decimal places as needed.)

Explanation:

Step1: Use the standard normal distribution table

We know that for the standard normal distribution \(Z\sim N(0,1)\), we need to find \(z\) such that \(P(Z < z)=0.1401\). Looking up the value \(0.1401\) in the standard - normal (z - score) table.

Step2: Locate the closest value in the table

In the standard - normal table, the closest value to \(0.1401\) is \(0.1401\) itself. The corresponding \(z\) - score for the cumulative probability \(P(Z < z)\) is found by looking at the row and column headers of the table. The row and column headers for the value \(0.1401\) give \(z=- 1.08\)

Answer:

\(-1.08\)