A. Fill in the blanks with the appropriate word or phrase to make meaningful statement/s.

1. The curve of a probability distribution is formed by ____________________.
2. The area under the normal curve is ____________________.
3. The important values that best describe a normal curve are ________________________________________.
4. There are ____________________ standard deviation units in the baseline of a normal curve.
5. The curve of a normal distribution extends indefinitely at the tails but does not ____________________
6. The area under a normal curve may also be expressed in terms of ____________________ or ____________________ or ____________________.
7. The mean, median, and mode of a normal curve are ____________________.
8. A normal curve is used in ____________________.
9. About ____________________% of a score distribution is between z=0 and z=1.
10. The skewness of a normal curve is 0 because it is a ____________________ shape.

B. Use the z-table to find the area that corresponds to each of the following z values. Show complete solution.

1. z= 0.56 ____________________ 6. z= -2.18 ____________________
2. z= 1.32 ____________________ 7. z= 2.75 ____________________
3. z= -1.05 ____________________ 8. z= -1.5 ____________________
4. z= -2.08 ____________________ 9. z= 3.06 ____________________
5. z= 1.65 ____________________ 10. z= -3.25 ____________________

C. Compute the following probabilities using the standard normal curve or the z-table. Show complete solution.

1. P(0 < Z < 1.5) 2. P (-1.08 < Z < 1.53) 3. P (0.75 < Z < 2.05) 4. P (-1.35 < Z < -3.09)

D. Find the z-score (s) of the standard normal distribution corresponding to the following areas under the normal curve. Show complete solution

1. 0.4976 to its left 2. 0.4929 to its right 3. 0.2642 to its right

E. Given =62 and = 8. Find the z- score value that corresponds to each of the following scores up to two decimal places. Show complete solutions.

1. x = 70 2. x = 82 3. x = 50 4. x = 42

F. Using the computing formula z, find the value x in each of the following. Show complete solutions.

1. = 70 , = 10 , z = 1.5
2. = 68 , = 4 , z = 1.2
3. = 53 , = 6 , z = -1.5
4. = 50 , = 8 , z = 2.4