Answer to Question #176611 in Statistics and Probability for Rustom

Question

Using the z-table, find the corresponding area between 𝑧 = 0 and each of the following:

1. z = 0.92

2. z = 1.29

3. z = 2.73

4. z = −0.50

5. z = −2.98

Answer 1

1. $\Phi(0.92)-\Phi(0)=0.82121-0.5$

=0.32121

2. $\Phi (1.29)-\Phi (0)=0.90147-0.5$

=0.40147

3. $\Phi (2.73)-\Phi (0)=0.99683-0.5$

=0.49673

4. $\Phi (0)-\Phi (-0.5)= 0.5-(1-0.69146)$

=0.19146

5. $\Phi (0)-\Phi (-2.98)=0.5-(1-0.99856)$

=0.49856