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. Φ(0.92)−Φ(0)=0.82121−0.5\Phi(0.92)-\Phi(0)=0.82121-0.5Φ(0.92)−Φ(0)=0.82121−0.5
=0.32121
2. Φ(1.29)−Φ(0)=0.90147−0.5\Phi (1.29)-\Phi (0)=0.90147-0.5Φ(1.29)−Φ(0)=0.90147−0.5
=0.40147
3. Φ(2.73)−Φ(0)=0.99683−0.5\Phi (2.73)-\Phi (0)=0.99683-0.5Φ(2.73)−Φ(0)=0.99683−0.5
=0.49673
4. Φ(0)−Φ(−0.5)=0.5−(1−0.69146)\Phi (0)-\Phi (-0.5)= 0.5-(1-0.69146)Φ(0)−Φ(−0.5)=0.5−(1−0.69146)
=0.19146
5. Φ(0)−Φ(−2.98)=0.5−(1−0.99856)\Phi (0)-\Phi (-2.98)=0.5-(1-0.99856)Φ(0)−Φ(−2.98)=0.5−(1−0.99856)
=0.49856
Need a fast expert's response?
and get a quick answer at the best price
for any assignment or question with DETAILED EXPLANATIONS!
Comments