Task A: Find the probabilities for each of the following. SHOW YOUR SOLUTIONS.

1. P(z < 2.01)

2. P(0 < z < 1.3)

3. P(-0.89 < z < 0)

4. P (z > 0.91)

Task B: Find each of the following percentile points under the normal curve.

1. P_97.5

2. P₂₅

3. P₅

Task C:

In a job fair, 3000 applicants applied for a job. Their mean age was formed to be 28 with a standard deviation of 4 years.

(SHOW YOUR SOLUTIONS FOR YOUR ANSWERS).

a. Draw a normal curve distribution showing the z scores and the raw

scores.

b. How many applicants are below 20 years old?

c. How many applicants are above 32 years old?

d. How many have ages between 24 and 32 years?

e. Find the age such that 75% is below it.

Task D: Create real-life situations where knowledge of NORMAL DISTRIBUTION can be applied.