MGSC 272 07 Mid-term Exam Solutions

# MGSC 272 07 Mid-term Exam Solutions - McGill University The...

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McGill University The Desautels Faculty of Management ADVANCED BUSINESS STATISTICS MGSC-272 MID-TERM EXAMINATION Solutions Name: Student #: Instructor: Section: Examiner: Professors Brian Smith and Derek Hart Friday, November 2, 2007 - 9:00am to 11:00am Time: 2 Hours There are two parts to this examination. The first part is made-up of twenty-five multiple-choice questions. Each question is worth 2 marks . You are provided with the computer printouts that can be used to answer the multiple-choice questions 16 through 18. In the case of the multiple-choice questions make sure you clearly circle your selected response. The second part is a case study. The Minitab printouts for this question are provided as a separate handout . When answering the questions use the printouts to support your comments and conclusions. This is an open book examination. Write your answers on the examination paper not on the handout. This examination paper has fourteen pages including the cover page. The separate handout containing the Minitab printouts for the second part has nine pages. Binomial Tables are provided at the back of the Minitab handout. Dictionaries are allowed. Total marks: 100

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QUESTION 1 (50 marks) The following information and table pertains to the next two questions: A government agency has 6,000 employees. The employees were asked whether they preferred a four-day workweek (10 hours per day), a five-day workweek (8 hours per day), or flexible hours. The information on the employees’ responses are broken down by sex and presented in the table below. 4-day 5-day Flexible TOTAL Male 300 1200 300 1800 Female 600 1500 2100 4200 TOTAL 900 2700 2400 6000 1. If a randomly selected employee turns out to be female, what is the probability that she is in favor of flexible hours? A. 0.50 P(flex hrs / F) = 2100 / 4200 = 0.5 B. 0.875 C. 0.35 D. 0.36 E. 0.167 Answer: A 2. What is the probability that a randomly selected employee is a male and is in favor of a four-day workweek? A. 0.15 P(M and 4-day) = 300 / 6000 = 0.05 B. 0.30 C. 0.20 D. 0.05 E. 0.10 Answer: D 2
The following information pertains to the next two questions: Akiko Uno is a general contractor and has submitted two bids, for project A and project B. The probability of getting project A is 0.65. The probability of getting project B is 0.77. The probability of getting project A or project B is 0.90. 3. What is the probability that she will get both projects? P(getting A) = 0.65 P(getting B) = 0.77 P(getting A or B) = 0.90 P(A or B) = P(A) + P(B) - P(A B) 0.90 = 0.65 + 0.77 - P(A B) P(A B) = 0.52 Therefore the probability that she gets both projects is 0.52 4. Are the events of getting the two projects mutually exclusive? Explain, using probabilities. If A and B are mutually exclusive then P(A

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## This note was uploaded on 02/28/2012 for the course MANAGEMENT MGSC 272 taught by Professor Smith during the Spring '12 term at McGill.

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MGSC 272 07 Mid-term Exam Solutions - McGill University The...

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