Question #176611

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



1
Expert's answer
2021-04-15T07:20:18-0400

1. Φ(0.92)Φ(0)=0.821210.5\Phi(0.92)-\Phi(0)=0.82121-0.5

=0.32121

2. Φ(1.29)Φ(0)=0.901470.5\Phi (1.29)-\Phi (0)=0.90147-0.5

=0.40147

3. Φ(2.73)Φ(0)=0.996830.5\Phi (2.73)-\Phi (0)=0.99683-0.5

=0.49673

4. Φ(0)Φ(0.5)=0.5(10.69146)\Phi (0)-\Phi (-0.5)= 0.5-(1-0.69146)

=0.19146

5. Φ(0)Φ(2.98)=0.5(10.99856)\Phi (0)-\Phi (-2.98)=0.5-(1-0.99856)

=0.49856


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