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 = 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 table.
In the z - table, we first find the row corresponding to \(z=0.5\) and the column corresponding to \(0.00\).

Step2: Locate the value

The value in the standard normal table for \(z = 0.50\) is \(0.6915\)

Answer:

\(0.6915\)