Subject: Probability and Statistics

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Topic: Standard Normal Variable

Direction: Choose the correct answer for the following questions:

Page 151-154 Item no. 2: Given: x -125; p = 105:0 . 16. Find the z score. A. -1.25 B. -1 C. 1D. 1.25 Page 151-154 Item no. 8: For questions number 8 - 10 The Enhance Community Quarantine of some places was lifted by our President Rodrigo Roa Duterte last May 15, 2020. Suppose that after the said ECO, one of the dieticians of well-known company conducted the survey about the effect of home quarantine on the health of the Filipino people. He found out that average weight for women is 70 kg with a standard deviation of 6 kg. If the weights are normally distributed, what is the z-score of a with a weight of 63 A. -1.17 B. -1.16 C. 1.16 D. 117 Page 151-154 Item no. 9: What is the z score of a woman with a weight of 85 kg? A. -2.5 B. -1.5 C. 1.5 D. 2.5 Page 151-154 Item no. 10: How many kilograms will be corresponds to the z score of 1.5 of the weight of woman? A. 76kg B. 79 kg C. 82 kg D. 85 kg Page 164-165 Item no. 10: For item numbers 10-12 Nine hundred thirty-two businessmen accepted the Mayaman Challenge of one of the Philanthropic Filipinos who are willing to give relief goods for our fellow Filipinos affected by the recent pandemic. They will be contributing an average of 135 sacks of rice with a standard deviation of 15 sacks of rice. What is the probability that the businessman will contribute less than 105 sacks of rice? A.98% B. 97.72% C. 2.28% D. 20%Page 164-165 Item no. 11: What is the probability that the businessman will contribute more than 150 sacks of rice? A. 15.87% B. 76.45% C. 80.78% D. 84.13% Page 164-165 Item no. 12: How many businessmen will contribute a sack of rice between 105 sacks to 145 sacks? A. 534 8.653 C. 676 D. 726 Page 164-165 Item no. 13: The ages of Senior High students enrolled at Sta. Catalina National High School are normally distributed with a mean of 17 years and a standard deviation of 2.5 years. If a student is selected at random, what is the probability that his age is under 16 years? A. 15.54% B. 34.46% C. 68.92% D. 84.56% Page 164-165 Item no. 14: The weekly sales of ABM students on their "Go Business" project are normally distributed with a mean of P4,250 and a standard deviation of P300. How many percent of their weekly sales are over P4.700? A. 6.68% B. 13.36% C. 86.63% D. 93.32% Page 164-165 Item no. 15: In problem number 14. how many percent of the ABM students' weekly sales are less than P4,7007 A. 6.68% B. 13.36% C. 86.63% D. 93.32%