Subject: Probability and Statistics

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Topics: Normal Random Variable and Standard Normal Variable

Direction: Choose the correct answer for the following questions:

Page 75-77 Item no. 11: How dispersed are the scores from the mean? A 58. 6C7D. 8 Page 89-91 Item no. 7: For items 7-9, refer to the scenario and table provided below. Let X be a random variable defining number of students getting 95 above grade X PIXI 0.2 0.1 074 0.3 What is the expected value of X from the given table? A 13 8 1.8 C. 19 D. 23 Page 89-91 Item no. 8: What is the variance (or 2 ) of the given probability distribution? A 1.16 B. 1.18 C. 1.20 D. 1.28 Page 89-91 Item no. 9: Which of the following value is appropriate for deviation (ox) of the given probability distribution? A 102 B. 104 C 1.06 D. 108Page 75-77 Item no. 10: For items 10 -11, refer to the diagram below. 3 2 1 O 1 2 3 5 6 7 8 9 10 11 12 13 14 10. What is the value of #x? A. 4 B. 5 C. 6 D.Page 101-103 Item no. 9: For numbers 9-12, refer to the probability distribution of the number of books borrowed from a school library in a day and its corresponding probabilities. 20 25 30 35 140 45 0.1 04 0.2 0. 1. What is the mean of the probability distribution? A. 25 8. 29 C. 30 D. 32 Page 101-103 Item no. 10: How would you interpret the mean value that you get from item number 8? A. It is the least number of books borrowed from the school library in a day. B. It is the largest number of books borrowed from the school library in a day. C. It is the average number of books borrowed from the school library in a day. D. It is the difference between the largest and the least number of books borrowed from the school library in a day Page 101-103 Item no. 11: What is the variance of the probability distribution? A. 38 B. 40 C. 43 D. 46 Page 115-117 Item no. 14: Which of the following tables of values shows the probability distribution of X. if each policyholder has a 99.95% chance of surviving within three years? A. E7000 -1.000.000 2000 -494 000 Tal 0.9995 0:0005 070005 IL 1,000,000 2.DO0 2000 -908.000 |0.9995 Phi 0.9995 0.0005 Page 115-117 Item no. 15: Find the expected value to the company of a single policy? A. P1,500.00 C. P1,800.00 B. P1,690,00 D. P1,950.00