8.4_Practice

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Name____________________________________ Practice: Percentage under Normal Bell Curve SOL: A2.T9 A normal distribution has a mean of 27 and a standard deviation of 5. Find the probability that a randomly selected x- value from the distribution is in the given interval. 1. Between 22 and 32 2. Between 12 and 27 3. Between 17 and 37 4. A least 22 5. At least 37 6. At most 32 A normal distribution has a mean of 75 and a standard deviation of 10. Find the indicated probability for a randomly selected x-value from the distribution. 7. ( 70) P x  8. ( 52) P x  9. ( 78) P x  10. The weights of adult male rhesus monkeys are normally distributed with a mean of 17 pounds and a standard deviation of 3 pounds. a. What is the probability that a randomly selected adult male rhesus monkey has a weight less than 14 pounds.? b. What is the probability that a randomly selected adult male rhesus monkey has a weight less than 19 pounds? c. What is the probability that a randomly selected adult male rhesus monkey has a weight greater than 12 pounds? d. What is the probability that a randomly selected adult male rhesus monkey weights between 14 and 21 pounds? A normal distribution has a mean of 125.8 and a standard deviation of 10.4. Find the indicated probability for a randomly selected x-value from the distribution. 11. ( 92.6) P x  12. ( 153.7) P x  13. (99.8 112.3) P x  

14. Pat and Chris both took a spatial abilities test which is normally distributed with a mean of 80 and a standard deviation of 8. Pat scores a 76 and Chris scored a 94. What percent of individuals would score between Pat and Chris? 15. A fifth grader takes a standardized achievement test (mean = 125, standard deviation = 15) and scores a 148. What is the child’s percentile rank? 16. A patient recently diagnosed with Alzheimer’s disease takes a cognitive abilities test and scores a 45. The me an on this test is 52 and the standard deviation is 5. What is the patient’s percentile rank? 17. The Welcher Adult Intelligence Test Scale is composed of a number of subtests. On one subtest, the raw scores have a mean of 35 and a standard deviation of 6. Assuming these raw scores form a normal distribution: a) What number represents the 65 th percentile (what number separates the lower 65% of the distribution)? b) What number represents the 90 th percentile? c) What is the probability of getting a raw score between 28 and 38? d) What is the probability of getting a raw score between 41 and 44? 18. The blood pressure of adult males is normally distributed with a mean of 125mm/hg and a standard deviation of 8. a) What is the minimum blood pressure of the 50% with the highest blood pressures? b) What is the minimum blood pressure of the 30% with the highest blood pressures? c) What is the maximum blood pressure of the 30% with the lowest blood pressures? d) What is the minimum blood pressure of the 20% with the highest blood pressures? 19. Scores on the SAT form a normal distribution with 500   and 100   .What is the minimum score necessary to be in the top 15% of the SAT distribution?

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