14. There are 30 retirees and 70 non-retirees in an investment management seminar. Every participant has been asked whether they have been satised with the class (\"Yes\" or \"No\"). Let event A be \"Participant is 'Retiree\"' and event B be \"Satised is 'Yes'\". If satisfaction with the class is independent of retirement status, then p(AC | B) will be equal to A. 0.30 B. 0.50 C. 0.70 D. 0.90 Questions 15 and [6 refer to the following scenario: Guests at a resort hotel are categorized as to their Points Club Membership -- Platinum, Gold, Non-Member -- and whether they're a repeat visitor or not. A recent sample of guests led to the following: Membership Category First-Time Re 0 eat Platinum 142 Gold 5 l Non-Member 410 15. If we randomly select a guest from this sample, what is the probability this guest will be both a First-Time visitor and a Gold member? A. Not greater than 0.02 B. Greater than 0.02 but not greater than 0.09 C. Greater than 0.09 but not greater than 0.16 D. Greater than 0.16 but not greater than 0.23 E. Greater than 0.23 16. Suppose that a randomly selected guest has been revealed to be a Platinum member. What is the probability that she also is a repeat visitor? A. Not greater than 0.02 B. Greater than 0.02 but not greater than 0.09 C. Greater than 0.09 but not greater than 0.16 D. Greater than 0.16 but not greater than 0.23 E. Greater than 0.23 17. Suppose that, for the normally distributed random variable X, which has a mean (u) of 200, the probability that a given instance of X will be less than 221 is 0.9192. What is X's standard deviation (6)? A. Not greater than 10 B. Greater than 10 but not greater than 12 C. Greater than 12 but not greater than 14 D. Greater than 14 but not greater than 16 E. Greater than 16 18. Evaluation of a random sample of 25 observations, each measured on two characteristics, has led to the construction of this scatter plot. Which of the following statements would be most appropriate in this situation? A. These two characteristics appear to be binomially related B. These two characteristics appear to be statistically independent C. These two characteristics appear to be positively correlated D. These two characteristics appear to be negatively correlated 19. A normally distributed population has a mean (u) of 80 and a standard deviation (6) of 8. For sample averages (given 11 = 16), what will be the 97.5th percentile value? . Not greater than 79 Greater than 79 but not greater than 82 Greater than 82 but not greater than 85 . Greater than 85 but not greater than 88 Greater than 88 meow> 20. Potential clients who require enhanced services can be modeled using the exponential distribution. The average time between arrivals for these clients is 50 minutes. What is the probability that it will be at least 90 minutes before the next such client arrives? A. Not greater than 0.8 B. Greater than 0.8 but not greater than 0.84 C. Greater than 0.84 but not greater than 0.88 D. Greater than 0.88 but not greater than 0.92 E. Greater than 0.92