Normal Distribution

I. Find the area corresponding to the following z values and sketch the curve.

1. P ( 0 < z < 1.47 )

2. P( -2.35 < z < 0 )

3. P( -2.59 < z < 0.41 )

4. P ( -1.67 < z < 1.56 )

5. P ( to the left of z = -1.96 )

II. Solve the problem carefully, sketch the curve.

1. The daily income of bank audition in SSS Commercial Bank is normally distributed with a mean of Php 675 and a standard deviation of Php 45. What is the z value for the income x of a bank auditor who earns Php 700 daily?

2. Johnny scored72 in a quiz in Algebra for which the average score of the class was 65 with a standard deviation of 8. He also took a quiz in Statistics and scored 60 for which the average score of the class was 45, and the standard deviation was 12. Relative to other students in the class, did Johnny do better in Algebra or Statistics?