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21) A hospital reports that two patients have been admitted who have contracted

ID: 3061208 • Letter: 2

Question



21) A hospital reports that two patients have been admitted who have contracted Crohn's disease. Suppose our experiment consists of observing whether each patient survives or dies as a result of the disease. The simple events and probabilities of their occurrences are shown in the table (where S in the first position means that patient 1 survives, D in the first position means that patient 1 dies, etc.). Simple Events Probabiitiles 0.51 0.10 0.11 0.28 -SD DS 21) Find the probability that both patients survive. A) 0.2601 B)028 C) 0.51 D)0.21 22) Each manager of a Fortune 500 company was rated as being either a good, fair, or poor manager by his/her boss. The manager's educational background was also noted. The data appear below: Educational Background Rating H.S. Degree Some College Degree Master'sor Ph.D. Total 39 20 25 51 16 Fair Total 19 What is the probability that a randomly chosen manager has earned at least one college d 34 160 21 69 egree? 51 160160 69 A) B) 1 D) L-alashal nlatia, ie an avrel lent free throw shooter and makes 96% of his free throws (ie,he has a 96% c

Explanation / Answer

21:

The simple event SS shows that both patients survive so the probability that both patients survive is

P(SS) = 0.51

22:

Out of 160 students, 69 +51 = 120 have earned at least one college degree is

P(at least college degree) = 120 /160 = 3/4

Correct option is B.

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