Question

find the area under the standard normal distribution curve between ( z=-0.08 ) and ( z=-2.17 ). use the standard normal distribution table and enter the answer to 4 decimal places
the area between the two ( z ) values is

Explanation:

Step1: Find the area for \(z = - 0.08\)

Using the standard normal distribution table, for \(z=-0.08\), the area \(A_1=\Phi(-0.08) = 0.4681\) (where \(\Phi(z)\) is the cumulative distribution function of the standard - normal distribution).

Step2: Find the area for \(z=-2.17\)

Using the standard normal distribution table, for \(z = - 2.17\), the area \(A_2=\Phi(-2.17)=0.0150\)

Step3: Calculate the area between the two \(z\) - values

The area between \(z_1=-2.17\) and \(z_2 = - 0.08\) is \(A=A_1 - A_2\).
Substitute the values: \(A=0.4681-0.0150 = 0.4531\)

Answer:

\(0.4531\)