Question

shading a region and finding its standard normal probability
answer the following.
(a) the standard normal curve is graphed below. shade the region under the standard normal curve to the left of ( z = - 0.50 ).
(b) use this table or the aleks calculator to find the area under the standard normal curve to the left of ( z = - 0.50 ).
give your answer to four decimal places (for example, 0.1234).

Explanation:

Step1: Use the standard normal distribution table

The standard normal distribution table (z - table) gives the cumulative probability \(P(Z < z)\) for a given \(z\) - score. For \(z=-0.50\), we look up the value in the z - table.
The z - table has two parts: the row for the integer and first decimal place of \(z\) (in this case, the row for \(-0.5\)) and the column for the second decimal place (the column for \(0.00\)).
When we look up \(z =- 0.50\) in the standard normal table, we find the value.

Answer:

\(0.3085\)