Chapter 4

# Chapter 4 - Chapter 4 Probability 4.1 Definitions of Some...

This preview shows pages 1–2. Sign up to view the full content.

Chapter 4 Probability 4.1 Definitions of Some Basic Terms Definition : A Statistical Experiment is an experiment that has Two or more outcomes and Uncertainty as to which outcome will be observed. Definition: Probability is the study of uncertainty in a statistical experiment. Definition: S = Sample space is the set of all possible outcomes of a statistical experiment. Definition: An event is any subset of the sample space. Notes: Since S φ and S S, both = { } and S are events. = { } is called the impossible event and has probability zero, i.e., P( ) = 0. S is called the definite event and has probability of 1, i.e., P(S) = 1. Probability of any other event, say A, is between zero and one, i.e., 0 ≤ P(A) ≤ 1 for any event A. Set notation and set algebra, such as , , ∪ ∩ ∈ , and complement ( ' c A A A = = ) are used in defining some events. Venn diagrams will be helpful to understand some of the concepts and solve some of the problems. (See pages 154 – 159) Definition: Mutually exclusive events: Two events A and B are said to be mutually exclusive (or disjoint) if they cannot occur at the same time, i.e., A B = . 4.2 Definitions of probability: a) Equally likely approach: If an experiment has n(S) equally likely outcomes and an event A has n(A) elements in it then P(A) = n(A) / N(S). 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 ]}

### Page1 / 4

Chapter 4 - Chapter 4 Probability 4.1 Definitions of Some...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online