Answer the following

1. The total area under the normal curve is A. -1 B. O C. 0.5 D. 1 2. The normal curve is bell-shaped. A. False B. True C. Sometimes D. It depends 3. Which part of the normal curve is extended indefinitely in both directions along the horizontal axis, approaching but never touching it? A. center B. tail C. top D. spread 4. According to the property of a Normal Probability Distribution, the mean is equal to what measures of central tendency? A. median B. mode C. both A and B D. only A 5. Which of the following rules state that almost all data fall within the 1, 2, and 3 Standard Deviation of the Mean when the population is normally distributed? A. Empirical rule B. Lottery rule C. Pascal's triangle rule D. Sampling rule 6. Under the curve, the area to the left of the mean is A. 30% B. 47.72% C. 50% D. 68% 120Using the empirical rule, the area under the normal distribution curve that lies within three standard deviations from the mean is approximately 95%. A. False B. True C. Sometimes D. None of the Above 8. Which of the following statements is CORRECT about the shape of the normal curve? A. The shape of the normal curve is based on the given Mean and Standard Deviation of the distribution. B. The shape of the normal curve is based on the given Mean and Median of the distribution. C. The shape of the normal curve is based on the given area and standard Deviation of the distribution. D. All of the above 9. Which of the following graphs is the BEST example of the normal curve? A. B. C. D. 10. Based on the empirical rule, the bell-shaped distribution will have approximately 68% of the data within what number of Standard Deviations from the mean? A. 0 B. 1 C. 2 D. 3 11. If the average age of retirement for the population in the Philippines is 65 years, with a standard deviation of 5 years, what is the approximate age range in which 68% of people retire? A. 60 - 70 years B. 55 - 65, years C. 55 - 60 years D. 60 -65 years 12. If the mean and the standard deviation of a continuous random variable that is normally distributed are 10 and 3 respectively, find an interval that contains 68% of the distribution. A. [7, 13] B. [4, 13] C. [7, 16] D. [3, 10] 13. According to the 68%-95%-99.7% rule or better known as an empirical rule, the standard deviation and mean interval that covers approximately 95% of the data from a frequency distribution is_ A. 2u + 20 B. uto C. u + 20 D. u + 30 14. The first quarterly assessment result of Grade 11- HUMSS students in their Statistics and Probability subject had scored with a mean of 40 and a standard deviation of 8. A histogram of the data shows that the distribution is normal. Use the Empirical Rule to find the percentage of scores between 24 and 32. A. 13.5% B. 68% C. 81.5% D. 95% 15. Suppose the distribution of data about the recovered victims of COVID 19 daily has a mean of 145 and a standard deviation of 22. How many standard deviations away from the mean is a value of 101? A. It is one standard deviation above the mean. B. It is one standard deviation below the mean. C. It is two standard deviations above the mean. D. It is two standard deviations below the mean.pap 1. What is the sum of the area that corresponds to the right of 0 and to the left of 0? A. 0.5 B. 1 C. 1.5 D. 2 2. Where can we find the area of a specific region under the curve? A. Table of Areas of Geometric Figure B. Table of Areas Under Normal Curve C. Table of Contents D. Periodic Table of Elements 3. Which of the following does NOT belong to the group? A. to the right B. less than C. to the left D. below 4. Which of the following figures is the best illustration of the area to the right of z =1? A. C. B D. 5. What is the area between z = - 1.23 and z = 2? A. 0.0865 B. 0.4772 C. 0.8679 D. 0.8779 1336. What will you do to find the area between the two z values? A. Subtract the obtained value from the Z table to 1 B. Rewrite the value obtained from z table c. Subtract the two obtained values from the z table. D. Calculate the mean and standard deviation 7. Find the area above z= 2.56 A. 0.0052 B. 0.4948 D. 9948 8. Find the area of the shaded region of the given figure. C. 0.9946 A. 0.1587 B. 0.3413 9. Find the z value of the following graph that corresponds to the given area. C. 0.3907 D. 08413 A. - 1.56 B. -1.45 0735 C. 1.45 D. 1.56 10. Find the z value of the following graph that corresponds to the given area 0.1379 A. - 1.06 B. -1.09 C. 1.09 D. 2.09 11. How can you describe this graph? A. The shaded region of the normal curve is below the z = 1 B. The shaded region of the normal curve is above the z=-1 C. The shaded region of the normal curve is between z=0 & z=1 D. The shaded region of the normal curve is between z=-1& z=1 12. Find the area under the standard normal curve between z = -2.5 and z = 1.5. A. 0.0062 B. 0.9270 C. 0.9332 D. 0.9392 13. Find the area under the standard normal curve between z = 0 and z = 3. A 0.4987 B. 0.5000 C. 0.9987 D. 1.4987 14. Find the area under the normal curve from z =0.83 to z= 1.84. A. 0.0007 B. 0. 1704 C. 0.7967 D. 0.9671 15. Find the sum of the areas under the standard normal curve to the left of z = -1.35 and to the right of z = 2.26. A. 0.0766 B.0.0995 C. 0.1004 D. 0.2009