{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Chapter 14

# Chapter 14 - Chapter 14 Read From Randomness to Probability...

This preview shows pages 1–4. Sign up to view the full content.

Chapter 14 From Randomness to Probability ActivStats: 14 Read: Chapter 14 Probability deals with modeling of random phenomena (phenomena or experiments whose outcomes may vary) Examples: 1. A toss of a coin 2. A roll of a die 3. A random selection of an individual from a population Intuitively probability of an event is a long-run relative frequency of the event in many independent repetitions of the experiment. Law of Large Numbers : ) ( # # A P s repetition of occured has A times of

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

View Full Document
Model of a random phenomenon 1. The sample space S (or ) = the set of all possible outcomes 2. Events = subsets of the sample space Venn Diagram: If A is an event, the event that "A does not occur" is denoted A c and is called the complement of A Two events are called disjoint , if they cannot occur simultaneously Combined events: A and B, A or B A and B A or B A A B Union of A and B Union of A and B A C A
4. Probability = a function that to each event A assigns a number P(A) (called the probability of an event A ) with the properties that 5. a) 0 P(A) 1 b) P(S) = 1 c) P(A c ) = 1- P(A) d) if A are B are disjoint, then P(A or B) = P(A) + P(B)

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

View Full Document
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