Sex Non-Smoker Regular Smoker Heavy Smoker Total Man 135 36 176 Woman 187 21 15 223 |Tota 322 57 20 399 If a student is chosen at random, find the probability of selecting: (a) a regular smoker. (b) a regular smoker and a woman. c) a heavy smoker or a man. d) a non-smoker given that the person is a man. (e) a woman given that the person is a heavy smoker. 12. A probability experiment consists of tossing a coin and spinning a spinner with numbers 1, 2, 3, 4, 5, 6. The spinner is equally likely to land on each number. find the probability of tossing a tail and spinning at least 2. 13. How many different permutations of the letters in "STATISTICS"? 14. A student advisory board consists of 17 members. Two members serve as the board's chair, and secretary. Find the number of ways the two positions can be filled? 15. How many ways can a group of 4 men and 3 women be selected from 12 men and 8 women? 16. State whether the variable is discrete or continuous: "The age of the student in a statistics class" 17. The random variable x represents the number of credit cards that adults have along with the corresponding probabilities. Find the mean and standard deviation. 2 3 4 P(x) 0.07 0.68 0.21 0.03 0.01 18. A survey indicates that 53% of women in the U.S. consider reading their favorite activity. You randomly select five U.S. women and ask them if reading is their favorite activity. a) Find the probability that at least three of them respond yes b) Find the mean and the standard deviation 19. Find the area under the standard normal curve a) to the left of z = -1.29. b) to the right of z = 1.47. c) between z = -1.15 and z = 1.34. d) to the left of z = -1.5 and to the right z = 2.52. 20. Use the standard normal distribution to find a) P(z - 1.85 ) ) P(-1.54 1.65) 21. IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. a) Find the probability a randomly selected person has an IQ score greater than 120 b) Find the probability a randomly selected person has an IQ score between 100 and 120 22. Find the z-score that has 2.68% of the distribution's area to its right. 23. A random sample of 40 students has a test score with mean 81.5. Assume the population standard deviation is 10.2. Construct the 90% confidence interval for the population mean