problemset09

# problemset09 - STAT/MA 416 Problem Set 9 Name 1 Butteries...

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

STAT/MA 416 September 12, 2011 Problem Set 9 Name: 1. Butterflies. Alice, Bob, and Charlotte are looking for butterflies. They look in three separate parts of a field, so that their probabilities of success do not affect each other. Alice finds 1 butterfly with probability 17%, and otherwise does not find one. Bob finds 1 butterfly with probability 25%, and otherwise does not find one. Charlotte finds 1 butterfly with probability 45%, and otherwise does not find one. Let X be the number of butterflies that they catch altogether. Find the expected value of X . 1

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

View Full Document
2. Dependence/independence among dice rolls. A student rolls a die until the first “4” appears. Let X be the numbers of rolls required until (and including) this first “4.” After this is completed, he begins rolling again until he gets a “3.” Let Y be the number of rolls, after the first “4”, up to (and including) the next “3.” E.g., if the sequence of rolls is 213662341261613 then X = 8 and Y = 7.
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern