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Unformatted text preview: Student Name: Student Number: Faculty of Science FINAL EXAMINATION Mathematics 203 Principles of Statistics I Thursday, May 31st, 2007 2 p.m. – 5 p.m. Answer directly on the test (use front and back if necessary). Calculators are allowed. One 8.5” x 11” two-sided sheet of notes is allowed. Language dictionaries are allowed. There are 10 pages to this exam and 2 pages of tables. The total number of marks for the exam is 100 Examiner: Dr. Jose Andres Correa Associate Examiner: Professor David Wolfson Question 1 (4 points) A survey of residents of a particular community showed that 20% were dissatisfied with the plumbing jobs done. Forty five percent of the complaints dealt with plumber A. If plumber A does 40% of the jobs in the community, what is the probability that a community resident will be dissatisfied with the plumbing job, given that it was done by plumber A? (Show your work). Question 2 (4 points) A die has two sides showing 1 dot each, two sides showing 4 dots each, and two sides showing 9 dots each. Let X be the number that turns up when this die is tossed once. a) Find the probability distribution of X (make a table) (2 points). b) Find the mean and the standard deviation of X (show your work) (2 points). Question 3 (10 points) It is known that 30% of children in Quebec have a genetic predisposition towards a condition which manifests itself as mild obesity in later life. a) What is the probability that in a group of four Quebec children, no more than two of them have this genetic predisposition? (2 points) b) How large would such a group have to be in order that the probability of containing at least one child with the genetic predisposition is at least 0.9? (4 points) least one child with the genetic predisposition is at least 0....
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This note was uploaded on 06/26/2008 for the course MATH MATH 203 taught by Professor Drjosecorrea during the Spring '08 term at McGill.
- Spring '08