stat final exam 2006

stat final exam 2006 - H ADM 201 Final Examination II Fall...

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H ADM 201 Final Examination II Fall 2006 Wednesday, Dec 13, 2006 Name:(Print CLEARLY)______________________________________ Please check your recitation section in the space provided below : H ADM 201, Section 1. (Mondays 2:55 PM: Daniel Gomez) H ADM 201, Section 2. (Tuesdays 9:05 AM: Josh Milgrom) H ADM 201, Section 3. (Mondays 7:30 PM: Betsy Beckert) H ADM 201, Section 4. (Tuesdays 3:35 PM: Amanda Meister/Rama Chanani) ***Make sure to fill out the information requested above. GRADING SHEET QUESTION MAXIMUM SCORE SCORE EARNED 1 30 2 25 3 15 4 30
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H ADM 201 Final Examination II Fall 2006 Question 1A. (20 points; 4 points each). Marriott offers different in-room technology options. If 42% of their properties off WiFi, 26% offer on demand movies, and 20% offers both: A) What is the probability a hotel has either WiFi or on-demand movies? W = {Has WiFi}; p(W) = 0.42 M = {Has Movies}; p(M) = 0.26, and P(M∩W) = 0.2 P(M W) = p(W) + p(M)-P(M∩W) P(M W) = 0.42 +0.26 – 0.20 P(M W) = 0.48 B) What is the probability a hotel has neither WiFi nor on-demand movies? P(M’∩W’) = 1 - P(M W) P(M’∩W’) = 1 - 0.48 P(M’∩W’) = 0.52 C) What is the probability a hotel has WiFi but does not have on-demand movies? P(W∩M’) = P(W) - P(W∩M) P(W∩M’) = 0.42 – 0.20 P(W∩M’) = 0.22 D) What is the probability that hotels without WiFi offer on-demand movies? P(M|W’) = P(W’∩M)/P(W’) = .06/(1-.42) = .06/.58 = .103 P(W’∩M) = 0.26 – 0.20 P(W’∩M) = 0.06 E) Are having WiFi and on-demand movies independent events? Explain in two sentences or less. P(W∩M) = 0.20 P(W)*P(M) = 0.42*0.26 P(W)*P(M) = 0.1092 P(W∩M) ≠ P(W)*P(M) Since the probability of the intersection does not equal the product of the probabilities, these events are not decided upon independently. 2
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H ADM 201 Final Examination II Fall 2006 Question 1. Part B. (15 points; 5 points each) The manager of the local Arby’s has been receiving complaints about long wait times, since the introduction of the expanded Market Fresh menu, which has been growing demand and has menu items which take longer to prepare. He knows the previous average was 3.8 orders per five minute period and after this new menu has been in place, wants to investigate how the new menu has changed the number of orders. A) What type of distribution does number of orders in a five-minute period follow? Explain in 2 sentences or less. Poisson: 1-Count Data: number of orders 2-Independent Events: we can assume one order does not affect how many orders are made. 3- No a priori Maximum: we can assume there is not a hard maximum of orders made in a five minute interval. B) One order has just been filled. What is the probability it takes more than 2 minutes before the next order arrives? Let Y be the time it takes for the next order to come in (units are in five minute intervals);
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stat final exam 2006 - H ADM 201 Final Examination II Fall...

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