You must use Standard Normal Table (z-score table) to find the answers for following questions. To be able to get the full credit from following questions, you must show your calculations.

3. Suppose there is a normally distributed population which has a mean of = 440 and a standard deviation of = 60. (15p)

1. What z-score would correspond to a raw score of 260?

2. What raw score would correspond to a z score of -3.5?

3. If we randomly select one score from this population, what is the probability that will be less than 550?

4. If we randomly select one score from this population, what is the probability that will be greater than 580?

5. What portion of a normal distribution is below 295?
6. What portion of a normal distribution is below 295?