{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

sol_midterm2

# sol_midterm2 - Mathematics Department UCLA P Caputo Fall 08...

This preview shows pages 1–3. Sign up to view the full content.

Mathematics Department, UCLA P. Caputo Fall 08, midterm 2 Nov 19, 2008 Midterm 2: Math 170A Probability, Sec. 2 Last name First and Middle Names Signature UCLA ID number (if you are an extension student, say so) Please note: 1. Provide the information asked above and write your name on the top of each page. 2. The only thing you may use during the exam is a pen to write down your answers. Every- thing else (calculator, textbook, notes, your own paper, . . . ) has to be put away safely. 3. Cheating in any way will not be tolerated. Do not speak during the exam. 4. Show your work and explain what you are doing. This is more important than just finding the right answer. 5. You can use the blank pages as scratch paper or if you need more space to finish the solution to a question. When you continue on another page indicate this clearly. 6. The maximal number of points attainable is given at the beginning of each question. Good Luck! Question 1 2 3 4 5 Total Score out of 10 10 10 10 10 50

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Name: 1. (10 pts) Consider independent rolls of a fair die. Let X denote the number of rolls needed to see the first even face and let Y denote the number of rolls needed to see the first face larger than 3. Find: a). E [ X ] and E [ Y ]. b). P ( X > 2 | Y = 2). c). P ( X = Y ) Solution . a) X and Y are both geometric random variables with parameter p = 1 2 . Therefore E [ X ] = E [ Y ] = 1 p = 2 .
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 6

sol_midterm2 - Mathematics Department UCLA P Caputo Fall 08...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online