Computer Science 174 - Spring 1999 - Canny - Midterm 1

Computer Science 174 - Spring 1999 - Canny - Midterm 1 -...

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CS174 Midterm 1 Spring 99 J. Canny Mar 2 This is a closed-book exam with 4 questions. You have 80 minutes. All questions are worth equal points, so be sure to budget 20 minutes per question. You are allowed to use the formula sheet that will be handed out with the exam. No other notes are allowed. Calculators are OK. Write all your answers in this booklet. Good luck! NAME SID Number 1
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1. Suppose a positive integer is chosen uniformly at random from . Then the following are random variables: if is a multiple of 4, otherwise if is a multiple of 5, otherwise if is a multiple of 6, otherwise (a) What is ? (b) What is ? (c) What is ? 2
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, where is not necessarily 0.5. The coin is tossed repeatedly, until a total of 3 heads (not necessarily consecutive) have appeared. Let be a random variable which is the number of tosses up to and including the 3rd head. (a) What is ? (b) What is
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Computer Science 174 - Spring 1999 - Canny - Midterm 1 -...

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