For each of the following questions:

a. Calculate the z-scores (show work)

b. Draw the theoretical normal curve and locate the raw scores on the curve.

C. Shade the area under the curve appropriate to the question or probability of interest.

d. A complete sentence interpretation.

If a distribution of scores has a mean of 75 and a standard deviation of 5 then:

1. What is the probability of a score falling between a raw score of 70 and 80?

2. What is the probability of a score falling above a raw score of 80?

3. What is the probability of a score falling below a raw score of 65?

4. What is the probability of a score falling between 80 and 85?