STATISTICS AND PROBABILITY

TOPIC: CONSTRUCTING PROBABILITY DISTRIBUTION

: COMPUTING THE MEAN AND VARIANCE OF A DISCRETE PROBABILITY DISTRIBUTION

: NORMAL DITRIBUTION

\fWEEK 4: NORMAL DISTRIBUTION A. Given the raw scores and standard 1. X = 60, X= 75, s = 10 2. X = 25, X = 38, s = 7 deviations, find the z-score that corresponds to each of the following scores up to two 3. X = 87, J = 68, 0 = 8 4. X = 135, u = 150, 0 = 12 decimal places. Z - score Area 1. 0.03 B. Use the z-table to find the area that 2. 0.24 corresponds to each of the following from the 3. 1.56 left of the normal curve. 4. 1.07 5. 2.38 7. -1.98 6. -0.75 8. 2.58 9. -1.28 10. 0.41 C. Determine each of the following areas and shade the area under the given normal curve. Use probability notation in your final answer. Above z = 2.49 2. To the right of z = -1.30 3. Below z = 0.05 4- To the left of z =-1.79 5 . Between z =-1.45 and z = 0.93 6. Between z = 0.45 and z = 2.40 D. Problem Solving Problem: The weights of 250 senior high school average 60kg and the standard deviation is 6 kg. How many children weigh between 50 kg and 75 kg