AMS 311 Hw 1

# AMS 311 Hw 1 - AMS 311(Fall 2011 Joe Mitchell PROBABILITY...

This preview shows page 1. Sign up to view the full content.

AMS 311 (Fall, 2011) Joe Mitchell PROBABILITY THEORY Homework Set # 1 Due at the beginning of class on Thursday, September 8, 2011. Reminder: Show your reasoning! Read: Ross, sections 1.1-1.4 of Chapter 1, and sections 2.1-2.5 of Chapter 2 . SPECIFICS OF READING ASSIGNMENT: Examples to read carefully: Chapter 1: 2a–2e; 3a–3f; 4a–4e Chapter 2: 3a, 3b, 4a, 5a–5j, 5l (1). (13 points) A system is comprised of 5 components, each of which is either working or failed. Consider an experiment that consists of observing the status of each component, and let the outcome of the experiment be given by the vector ( x 1 ,x 2 ,x 3 ,x 4 ,x 5 ), where x i is equal to 1 if component i is working and is equal to 0 if component i is failed. (a). How many outcomes are in the sample space of this experiment? (b). Suppose that the system will work if components 1 and 2 are both working, or if components 3 and 4 are working, or if components 1, 3, and 5 are all working. Let W be the event that the system will work. Specify all of the outcomes in W . (c). Let A be the event that components 4 and 5 are both failed. How many outcomes are
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