April 2015
Beginner
400 pages
8h 45m
English
Content preview from Probability and Statistics
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3
Special Distribution
3.1 Introduction
An experiment often consists of repeated trials, each with two possible outcomes—success or failure. For example, in a manufacturing industry, a test or trial may indicate a defective or non-defective item. We may choose to call either outcome as a success. This process is called a Bernoulli process. Each trial is called a Bernoulli trial.
3.2 Binomial (Bernoulli) Distribution
This process must possess the following properties:
- The experiment consists of n repeated trials.
- Each trial results in an outcome that may be classified as a success or a failure which are mutually exclusive.
- The probability of success, denoted by p, remains constant from trial to trial.
- The repeated trials are independent. ...
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