Relative Frequency

1. Assume the resting heart rank for a sample of individuals argon normally distributed with a mean of 70 and a standard excursus of 15. Use the 68-95-99 rule to find the following quantities a. division of rates less than 70 = 50% b. Percentage of rates less than 55 = 16% c. Relative frequency of rates less than 40 = 2. 5% d. Percentage of rates less than 85 = 84% e. Relative frequency of rates less than ascorbic acid = 97. 5% f. Percentage of rates greater than 85 = 16% g.Percentage of rates greater than 55 = 84% h. Relative frequency of rates greater than 40 = 97. 5% i. Percentage of rates betwixt 55 and 85 = 68% j. Percentage of rates between 70 and 100 = 47. 5% 2. Here ar the results of four of your test Your score Mean Standard Deviation maths (out of 100) 70 80 3. QM (out of 20) 20 18 3 RM (out of 100) 66 75 5 History (out of 30) 28 20 3. 5 a. empower all four results on a standardized normal curve. Be sure to present the calculations for from each one test. Math (70 80) / 3. 3 = -3. 03 *QM (20 18) / 3 = 0. 67 *RM (66 75) / 5 = -1. 8 *History (28 20) /3. 5 = 2. 29 pic Math RM QM History b. What is the destiny of people who have a better mark than you in math? My maths mark is -3. 03 ( 49. 88 is the area between Mean and z. (50% + 49. 88) 99. 88% of people get a better mark than me in math. c. What is the percentage of people who have a lower mark than you in RM? I got -1. 8 ( 35. 99 (50 35. 99) 14. 1% of people have a lower mark than me in RM d. Which test is the best? Explain The best test is the History one, since it has the highest z-score, 2. 29. There is a high transcendency between my mark and the marks average of the class. Im 98. 9% over the class. 98. 9% of people got a lower mark than me in History. 3. Pediatric data reveal that the average nipper is toilet adept at 26 months, but that there is a 2-month standard deviation from this norm. a. What percentage of youngsterren are toilet-trained by 23 months? 50 35. 31) 14. 69% of electric shaverren are toilet-trained by 23 months. b. A mother is concerned that her son was trained at 30 months. What is the probability of having a child being trained at 30 months? (50 47. 72) 2. 28% is the probability of having a child being trained at 30 months. c. A mother is pleased that her daughter is trained at 18 months. How third estate is it that a child would be toilet trained at this age? (50 49. 997) There is . 003 of probabilities that a child would be toiled trained at 18 months. 4.Assume the scores among Asiatic Americans on an alienation scale are normally distributed with a mean of 22 and a standard deviation of 2. 5 (higher scores bound greater feelings of alienation). Based on this distribution, determine a. The probability of an Asian American having an alienation score between 22 and 25 The probability of an Asian American having an alienation score between 22 and 25 is 38. 49%. b. The probability of an Asian American having an alienation score of 20 or less. (50 28. 81) The probability of an Asian American Having an alienation score of 20 or less is 21. 19%.