Answer Questions 1-19 ODD ONLY.

For questions 1-6 and 13-19, draw and shade the distributions as well.

Using and Interpreting Concepts Finding Probabilities In Exercises 13-20, find the indicated probabilities. If convenient, use technology to find the probabilities. 13. Heights of Men A survey was conducted to measure the height of U.S. men. In the survey, respondents were grouped by age. In the 20-29 age group, the heights were normally distributed, with a mean of 69.6 inches and a standard deviation of 3.0 inches. A study participant is randomly selected. (Adapted from U.S. National Center for Health Statistics) (a) Find the probability that his height is less than 66 inches. (b) Find the probability that his height is between 66 and 72 inches. c) Find the probability that his height is more than 72 inches. 14. Fish Lengths The lengths of Atlantic croaker fish are normally distributed, with a mean of 10 inches and a standard deviation of 2 inches. An Atlantic croaker fish is randomly selected. (Adapted from National Marine Fisheries Service, Fisheries Statistics and Economics Division) a) Find the probability that the length of the fish is less than 7 inches. (b) Find the probability that the length of the fish is between 7 and 15 inches. (c) Find the probability that the length of the fish is more than 15 inches. 15. ACT Scores In a recent year, the ACT scores for high school students with a 3.50 to 4.00 grade point average were normally distributed, with a mean of 24.2 and a standard deviation of 4.3. A student with a 3.50 to 4.00 grade point average who took the ACT during this time is randomly selected. (Source: ACT, Inc.) (a) Find the probability that the student's ACT score is less than 17. (b) Find the probability that the student's ACT score is between 20 and 29. (c) Find the probability that the student's ACT score is more than 32. 16. Beagles The weights of adult male beagles are normally distributed, with a mean of 25 pounds and a standard deviation of 3 pounds. A beagle is ran- domly selected. 9006 nath seal s58 2910 (a) Find the probability that the beagle's weight is less than 23 pounds. yesm wod mods bajoaloa yhad (b) Find the probability that the weight is between 23 and 25 pounds. (c) Find the probability that the beagle's weight is more than 27 pounds. 903 Went TAY to noBudinall 17. Computer Usage A survey was conducted to measure the number of hours per week adults in the United States spend on home computers. In the Sou2 nardi east san survey, the number of hours were normally distributed, with a mean of 7 hours and a standard deviation of 1 hour. A survey participant is randomly selected. (a) Find the probability that the hours spent on the home computer by the participant are less than 5 hours per week. (b) Find the probability that the hours spent on the home computer by the participant are between 5.5 and 9.5 hours per week. (c) Find the probability that the hours spent on the home computer by the participant are more than 10 hours per week.5 NORMAL PROBABILITY DISTRIBUTIONS 16. Utility Bills The monthly utility bills in a city are normally distribute with a mean of $100 and a standard deviation of $12. A utility bill randomly selected. don9 pnibn (a) Find the probability that the utility bill is less than $70. (b) Find the probability that the utility bill is between $90 and $120 (c) Find the probability that the utility bill is more than $140. 19. Computer Lab Schedule The time per week a student uses a lab computer is normally distributed, with a mean of 6.2 hours and a standard deviation of 0.9 hour. A student is randomly selected. (a) Find the probability that the student uses a lab computer less than 4 hours per week. (b) Find the probability that the student uses a lab computer between 5 and 7 hours per week. (c) Find the probability that the student uses a lab computer more than 8 hours per week.5.2 EXERCISES Building Basic Skills and Vocabulary For Extra Help Computing Probabilities In Exercises 1-6, assume the random variable x is normally distributed with mean u = 86 and standard deviation o = 5. Find the indicated probability. MyStatLab 2. P(x 75) 3. P(x > 92) 6. P(85