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11. The joint probability of X and Y is also referred to as A. B. C. D. the inte

ID: 3061094 • Letter: 1

Question

11. The joint probability of X and Y is also referred to as A. B. C. D. the intersection of X and Y the union of X and Y the probability of the intersection of X and Y the probability of X given Y 12. Two events, X and Y, are complements. From this it can be deduced that A. B. C. D. X and Y are mutually exclusive X and Y are collectively exhaustive the intersection of X and Y is empty all of the above 13. Let A be the event that a student is enrolled in an accounting course, and let S be the event that a student is enrolled in a statistics course. It is known that 30% of all students are enrolled in an accounting course and 40% of all students are enrolled in statistics. Included in these numbers are 15% who are enrolled in both statistics and accounting.Find P(S). A. 0.15 B. 0.30 C. 0.40 D. 0.55 14. Let A be the event that a student is enrolled in an accounting course, and let S be the event that a student is enrolled in a statistics course. It is known that 30% of all students are enrolled in an accounting course and 40% of all students are enrolled in statistics. Included in these numbers are 15% who are enrolled in both statistics and accounting. Find the probability that a student is in accounting and is also in statistics A. 0.15 B. 0.70 C. 0.55 D. 0.12 15. Let A be the event that a student is enrolled in an accounting course, and let S be the event that a student is enrolled in a statistics course. It is known that 30% of all students are enrolled in an accounting course and 40% of all students are enrolled in statistics. Included in these numbers are 15% who are enrolled in both statistics and accounting. From the above, it can be concluded that A. B. C. D. A and S are mutually exclusive A and S are independent A and S are complements A and S are not independent

Explanation / Answer

11) Oprion-C

12) Option-D

13) Option-C

14) Option - A

15) P(A) * P(S) = 0.3 * 0.4 = 0.12

P(A and S) = 0.15

As P(A) * P(S) is not equal to P(A and S), so they are not independent.

Option-D is correct.