STAT 3201 Lecture 11: Stats 2.10.17
10 Feb 2017
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The y=number of the trial on which the rth success occurs. The distribution of y is negative binomial. Example: the employees of a firm that manufactures insulation are being tested for the indications of asbestos in their lungs. N independent and identical trials with two outcomes: success or failure . The probability of success in any of the trials is p. Let y=number of the trial on which the first success occurs. Example: suppose that 30% of the applications for a certain industrial job possess advanced training in computer programming. Applicants are interviewed sequentially and are selected at random from the pool. Motivation: suppose that 40% of a large population of registered voters favor candidate. A random sample of n=10 voters will be selected, and y, the number favoring. If the population of voters is large compared to the sample size n, removing one voter from the pool does not significantly alter the percentage of voters favoring jones.
