Question

answer the following.
(a) the standard normal curve is graphed below. shade the region under the standard normal curve to the left of ( z=-1.50 ).
(b) use this table or the aleks calculator to find the area under the standard normal curve to the left of ( z=-1.50 ).
give your answer to four decimal places (for example, 0.1234).

Explanation:

Step1: Use standard normal distribution table

The standard normal distribution table (z - table) gives the cumulative probability \(P(Z < z)\) for a given \(z\) - score. For \(z=-1.50\), we look up the value in the z - table.
In the z - table, the row for \(z = - 1.5\) and the column for \(0.00\) (since \(z=-1.50=-1.5 + 0.00\)) gives the value.

Step2: Locate the value in the table

Looking at the standard normal table:
The left - most column is for the integer part and the first decimal of \(z\), and the top - most row is for the second decimal of \(z\).
For \(z=-1.50\), we find the value \(0.0668\)

Answer:

\(0.0668\)