[Note: Provide explanation or solution for every answer]

Direction: Answer each item using the scenario and the given data.

12. What is the probability that 3 or more CBL students are selected? (2 points) A. 0 B. 0.0625 C. 0.25 D. 0.3125 13. What is the average number of CBL students that have been selected? (2 points) A. 1 B. 2 C. 3 D. 4 14. What is the standard deviation of the probability distribution of the number of CBL students that has been selected? (2 points) A. 0.5 B. 0.75 C. 1 D. 1.25 15. Which of the following describes the probability distribution of the random variable C? (2 points) Possible Outcomes OOOO OOOC OOCO OOCC OCOO OCOC OCCO OCCC COOO COOG COCO COCO CCOO COOC COCO COCO A. Number of C 0 2 2 2 3 2 2 3 2 3 3 Possible Outcomes OOOO OOOC OOCO OOCC Ocoo Ococ occo OCC COOO COOG COCO COCO CCOO COOC COCO COCC B. Probability 0.063 0.063 0.125 0.063 0.125 0.125 0.188 0.063 0.125 0.125 0.188 0.125 0.188 0.188 0.25 Number of C Number of Outcomes A 6 C. with C Number of C 1 2 3 D. Probability 0.0625 0.25 0.375 0.25 0.0625For items 16-21. suppose three students are selected at random. LetA be the random variable representing the number of ABM students that are selected. 16. What is the probability that there will be no ABM student selected? A. 812'? B. 4}? C. 19(2? 0.1 1?. 1What is the probability that at most 2 ABM students are selected? [2 points] A. 0 B. 0.2222 G. 0.4444 D. 0.9630 10. What is the probability that less than 2 ABM students are selected? [2 points} A. 0.2222 R. 0.240? C. 0.9630 0. 1 19. What is the mean of the probability distribution of the random variable A? (2 points) A. 0.5 B. 0.67 C. 1 D. 1.3 20. What is the variance of the probability distribution of the random variable A? (2 points) A. 0 B. 0.33 C. 0.44 D. 0.66 21. Which of the following histogram best describes the random variable A? (2 points) 70.4 Chart Title 6 01 Frequency 2 1 2 Number of C A. C. Number of C 0.5 04 03 Frequency 02 0 1 2 3 2 3 Number of C Number of C B. D