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EMPIRICAL RULE (68-95-99.7) 13.5% 34% 34% 13.5% 2.35% 2.35% 0.15% 0.15% 4-30 11-20 1-10 11+10 4+20 +30 Directions: Answer the following questions. Show your

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EMPIRICAL RULE (68-95-99.7) 13.5% 34% 34% 13.5% 2.35% 2.35% 0.15% 0.15% 4-30 11-20 1-10 11+10 4+20 +30 Directions: Answer the following questions. Show your solutions. 1. The scores of the Senior High School students in their Statistics and Probability quarterly examination are normally distributed with a mean of 35 and a standard deviation of 5. Answer the following questions: a. What percent of the scores are between 30 to 40? b. What scores fall within 95% of the distribution? 2. Assuming that the heights of college women are normally distributed, with a mean of 65 inches and standard deviation of 2.5 inches. Answer the following: a. What percentage of women are taller than 71? b. What percentage of women are shorter than 63 inches? c. What percentage of women are between 60 inches and 67 inches? d. What percentage of women are between 63 and 73 inches?

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