namdontaskLv4

30 Mar 2022

classify each of the variables as categorical (A) or numerical. If the variable is numerical, classify further as discrete (B) or continuous (C).
4. Strand                6. Students’ GWA
5. Modality            7. Students’ level of stress

For items 8-15, suppose four students are selected at random from the gathered date. Let C 
be the random variable representing the number of CBL students that are selected.

8. How many sample points can be generated from the experiment?
A. 2 B. 4 C. 16 D. 20

9. What are the values of the random variable C?
A. 0, 1, 2, 3, 4 C. 0.0625, 0.25, 0.375
B. 1, 1, 4, 4, 6 D. O and C

10. What is the probability that 2 CBL students are selected?
A. 3/16 B. 3/14 C. 3/12 D. 3/8

11. What is the probability that all students selected are OBL?
A. 0 B. 0.0625 C. 0.25 D. 1

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

Suppose three students are selected at random. Let A 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. 8/27 B. 4/9 C. 19/27 D. 1

17. What is the probability that at most 2 ABM students are selected? (2 points)
A. 0 B. 0.2222 C. 0.4444 D. 0.9630

18. What is the probability that less than 2 ABM students are selected? (2 points)
A. 0.2222 B. 0.7407 C. 0.9630 D. 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