9. A random variable x has a mean of 12 and a standard deviation of 3.2. What is the corresponding z-score for x = 8? A. -1.25 B. -1.50 C. -1.75 D. -2.25 10. What is the area under the normal curve if the z-score is less than 2.14? A. 0.9830 B. 0.9834 C. 0.9838 D. 0.9842 11. What is the area under the normal curve if the z-score is from 0 to 0.61? A. 0.2291 B. 0.2324 C. 0.2357 D. 0.2389 12. What is the area under the normal curve between the z-scores - 1.99 and 1.56? he: A. 0.9173 ade/! B. 0.9317 C. 0.9369 D. 0.9639 13. What is the area of the P(Z > 2.58) using the standard normal curve? A. 0.0049 B. 0.0051 C. 0.9949 D. 0.9951 14. In an achievement test, the mean score of normally distributed values is 70 and the standard deviation is 12. What is the percentage of students who got a score of 85 and above? Di A. 0. 1056 B. 0. 1075 C. 0.8925 D. 0.8944 an 15. Danny is one of the students who took final examinations in 3 subjects. The results of their 11 examination are as follows: Subject Average Score of Students () Standard Deviation (o) | Danny's Score (x) Math 78 5 85 English 82 9 87 Science 85 15 92 In which subject did Danny get a higher score than the rest? A. Math B. English C. Science D. All Subjectsme: Date: ade / Strand: THE NORMAL DISTRIBUTION AND STANDARD NORMAL VARIABLES I. Choose the letter that corresponds to the correct answer. Write your answer on the space provided before the number. 1. The distribution of data where the mean, median, and mode are approximately equal and where the data is clustered closely around the center is called the A. Probability Distribution C. Normal Probability Distribution B. Central Tendency D. Variability 2. What is the other name for normal distribution? A. Gaussian distribution C. Bernoulli's distribution B. Poisson distribution D. Probability distribution 3. What is the total area in the distribution under the normal curve? A. 0 B. C. 2 D. 3 4. Which of the following illustrations represents normal distribution? A. B. 5. The graph of a normal distribution is symmetrical about the A. mean C. mean and standard deviation B. standard deviation D . none of the above 6. Which of the following denotes the standard normal distribution? A. A B. X C. Y D. Z 7. Which of the following is NOT a property of a normal curve? A. The curve is symmetric about 0 B. The curve extends indefinitely in one direction. C. The total area under the normal curve is equal to 100%. D. The area can be determined based on the standard score or z-score. 8. Which of the following graphs represent the area under the normal curve from z = 0 to Z =1.87? A B. D