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Final Exam Information [.pdf]

Listed below are two old final exams. These are NOT sample exams, but rather exams that were given at a different time to a different class. SOME of the material is suitable for Math/Stat 251 this semester. The point of these exams is to give you a sense of a suitable length for a Math/Stat 251 exam, and to give you another example of the style of exam that I write.

Statistics 251 (Fall 2014) [.pdf]

This was last year's 251 exam for a course given by Dr. Fallat. Here are some comments on the exam. In general, he emphasized discrete random variables more than I did. I emphasized continuous random variables more. You can expect more problems involving continuous random variables on your exam than on this exam.

Problem 1: This is suitable for us.

Problem 2: The language that we use is slightly different. Here is our wording.
(a) Determine P(Y₁=y₁, Y₂ = y₂) for all values of y₁ and y₂.
(b) Determine P(Y₁=y₁) for all values of y₁. Can you identify the distribution of Y₁?
(c) Compute P(Y₁=1 | Y₂ ≥ 1)
(d) Determine P(Y₁=y₁ | Y₂=1) for all values of y₁.
(e) Compute E(Y₁), E(Y₂), and E(Y₁Y₂).
(f) Are Y₁ and Y₂ independent? Explain.

Problem 3: This is suitable for us.

Problem 4: This is suitable for us.

Problem 5: We have not emphasized covariance this semester, so such a problem is not suitable for us.

Problem 6: This is suitable for us. I have not emphasized Poisson random variables, so I would not write such a problem involving Poisson random variables. I would use a different discrete random variable.

Problem 7: This is suitable for us.

Mathematics 302 (UBC Fall 2010) [.pdf] Solutions [.pdf]

This exam was given at UBC in Fall 2010. There were 2 instructors teaching the course. Note that UBC final exams are 2.5 hours long, whereas Regina final exams are 3 hours long.

Problem 3(c) is not suitable for us.

Problem 4 is not suitable for us. If I were to use such a problem for your exam, I would use a much larger p and a much smaller n and turn this into a binomial probability problem.

Problem 8 is suitable for us, but I would not use exactly this language. See my comments for Dr. Fallat's problme 2 above.

Statistics 251 Fall 2015 Final Exam with Solutions