another sample midterm - Oncourse

another sample midterm - Oncourse another sample midterm - Oncourse

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has 3 possible answers, exactly one of which is correct. Jeb decides to pick the answer to each question at random. What is the probability that he will get precisely two correct answers? (A) 16/729 (B) 2/3 (C) 1/3 (D) 80/243 (E) 40/243 (F) none of the above 19. A Bernoulli trial with success probability p = .2 is repeated independently 15 times. What is the probability that the second, fourth, and tenth of the tries were successes, but all the other tries were failures? (A) C(15,3)(.2) 3 (.8) 12 (B) (.2) 3 (C) (.2) 3 (.8) 12

(D) 1 − C(15,12)(.2) 3 (.8) 12 (E) C(15,12)(.2) 3 (.8) 12 (F) none of the above 20. A Finite Math. class consists of 41 freshmen and 52 sophomores. The class decides that not enough homework is assigned, and a delegation of 5 is chosen at random to discuss the matter with the instructor of the class. Find the probability that no sophomores are included in the delegation. (A) C(52,5) C(93,5) (B) 41!/93! (C) 0 (D) 1 − C(52,5) C(93,5) (E) C(41,5) C(93,5) (F) none of the above 21. An unfair (six sided) die is such that the outcomes 1,2,3,4 are

has 3 possible answers, exactly one<br />

of which is correct. Jeb decides to<br />

pick the answer to each question<br />

at random. What is the probability<br />

that he will get precisely two<br />

correct answers?<br />

(A) 16/729<br />

(B) 2/3<br />

(C) 1/3<br />

(D) 80/243<br />

(E) 40/243<br />

(F) none of the above<br />

19. A Bernoulli trial with success<br />

probability p = .2 is repeated<br />

independently 15 times. What is<br />

the probability that the second,<br />

fourth, and tenth of the tries were<br />

successes, but all the other tries<br />

were failures?<br />

(A) C(15,3)(.2) 3 (.8) 12<br />

(B) (.2) 3<br />

(C) (.2) 3 (.8) 12

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