{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Week 1 Sept 1

# Week 1 Sept 1 - WEEK 1 Sept 1 Go over Syllabus Go over...

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

1 WEEK 1 Sept 1 Go over Syllabus . Go over Tentative Schedule . Expected Coverage for Today . Ideas in Chapter 2, Sections 2-1 through 2-4. Types of probability : objective and subjective Probability models are used to mathematically model situations where outcomes are uncertain. Models can be useful although they cannot be proved to be correct. Example 1. A Coin Toss. I flip an ordinary coin, say, a U.S. quarter and let it land on a flat surface. Consider a model that ignores the possibility that it comes to rest on its edge. Then there are two possible outcomes for the upper face: Heads (H) and Tails (T). When we say the coin is fair , we imply that the two outcomes are equally likely. A mathematical expression for this is P(H) = P(T) = ½. The sample space S in the model is the collection of possible outcomes {H, T}. Here is a figure to display this probability model. ½ ½ . H .T S We might even use the simpler figure without the probabilities shown and simply state that the two outcomes are equally likely. . H .T S

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

View Full Document
2 Example 2. Figure showing sample space with 11 outcomes. If the model specifies them as equally likely, then we know each has probability 1/11. The names of outcomes not shown in figure below; they are simply depicted by dots. . . . . . . . . . . . S Example 3. Model for independent tosses of three fair coins (say a nickel, a dime and a quarter). In the table below, the first letter denotes the outcome of the nickel, the second letter denotes the outcome of the dime, and the third letter denotes the outcome of the quarter.
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