General Information
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The exam will be held on Monday, May 14, from 3:00pm to 5:30pm, in Swords 328.
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Plan to arrive a few minutes early to allow time to distribute the exams.
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Cell-phones should be turned OFF for the duration of the exam.
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You may use a non-graphing, scientific calculator during the exam. No other calculator or electronic device may be used during the exam.
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You may bring one 8.5x11 sheet of notes (you may use both sides).
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You will be expected to show all of your work. A correct answer with insufficient justification
may not receive full credit.
Topics
The final exam will cover all topics we have discussed this semester. See the exam review pages below for topics covered on those exams:
In addition, the final will cover the following topics.
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Conditional Expectation. Know how to find the mean and variance of a random variable with a parameter that is also a random variable.
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Probability Distributions of Functions of Random Variables Know how to find the probability distribution of a random variable that is a function of a random variable with known distribution. Know how to do this using the method of distributions, the method of transformations (single-variable and multi-variable), and the method of moment-generating functions.
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Central Limit Theorem. Know how to apply the central limit theorem to approximate probabilities involving sample means.
Preparing for the Exam
Here are a some exercises from the text to use for practice. Solutions to most of the odd-numbered exercises are in the back of the text.
Chapter 5
Exercises 154, 157, 161
Chapter 6
Exercises 92, 93, 94, 95, 96, 97, 101, 102, 103 (Hint: Let U1=Y1/Y2 and U2=Y2.), 106, 107
Chapter 7
Exercises 9, 10, 42, 43, 44.