stat prelim 2007

# stat prelim 2007 - H ADM 201 Preliminary Examination I...

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H ADM 201 Preliminary Examination I Tuesday, February 27, 2007 Name (Print CLEARLY):_____________________________________________ Please check your recitation section in the space provided below : H ADM 201, Section 1. (Mondays 5:30 PM: Betsy Beckert) H ADM 201, Section 2. (Mondays 7:30 PM: Daniel Gomez) H ADM 201, Section 3. (Tuesdays 4:30 PM: Amanda Meister) H ADM 201, Section 4. (Tuesdays 7:30 PM: Bradlee Hancock) This cover page must be stapled to the homework you turn in. It is the front page of your homework. Make sure to fill out the information requested above. GRADING SHEET QUESTION MAXIMUM SCORE SCORE EARNED Question 1 30 Question 2 20 Question 3 30 Question 4 20 Total 100

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H ADM 201 Prelim I Spring 2007 Question 1A. 30 points (5 points each part). On a specific cruise, 89% of passengers use the pool, 58% use the casino, and only 3% of passengers use neither of these facilities. A) What is the probability a passenger uses at least one of these two facilities? Let P = {Passenger uses the pool}, C = {Passenger uses the casino}; C P = {Passenger uses neither pool nor casino}. P(P) = 0.89; P(C) = 0.58; P ( C P ) = 0.03 A = P(P C) A = 1 – P( C P ) = 1 – 0.03 A = 0.97 B) What is the probability a passenger uses both of these facilities? B = P(P C) B = P(P) + P(C) - P(P C) = 0.89 + 0.58 - 0.97 B = 0.5 C) If a passenger uses the casino, what is the probability they will also use the pool? C = P(P|C) C = P(P C)/P(C) = 0.5/0.58 C = 0.86 Question 1. Continued on next page. 2
H ADM 201 Prelim I Spring 2007 Question 1. Continued from previous page. D) If a passenger does not use the pool, what is the probability they do not use the casino? D = P(C’|P’) D = P( C P )/P(P’) = 0.03/(1-0.89) D = 0.27 E) Show that using the pool and using the casino are NOT independent events in EACH of the two ways stated below. In EACH case, after doing the math, state in one complete sentence why the mathematics you used illustrates why these events are not independent. i) Using the multiplication rule for independent events.

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stat prelim 2007 - H ADM 201 Preliminary Examination I...

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