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 = 2.00 ).

(b) use this table or the aleks calculator to find the area under the standard normal curve to the left of ( z = 2.00 ).
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 \(z = 2.00\), we look up the value in the z - table.
In the z - table, the row for \(z = 2.0\) and the column for \(0.00\) gives the value.

Step2: Read the value from the table

Looking at the standard normal table, when \(z=2.00\), the cumulative probability \(P(Z < 2.00)\) is \(0.9772\)

Answer:

\(0.9772\)