Lecture14_updated

Lecture14_updated - successes that we will obtain Negative...

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Lecture 14 3 rd June 2011

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Binomial vs. Hypergeometric Binomial approximation to the Hypergeometric: This works when N is large and n is relatively small.
Exercise 5.4.1: Megan audits 130 clients during a year and finds irregularities for 26 of them. a)Find the probability that 2 clients will have irregularities when 6 of her clients are picked at random. a)Evaluate your answer to (a) using a suitable approximation.

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Proof:
Binomial vs. Negative Binomial distributions: These can be distinguished by looking at what is specified or known in advance: Binomial: We know we have n trials, But we DON’T know the number of

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Unformatted text preview: successes that we will obtain. Negative Binomial: We know the of number of successes , k, But we DON’T know the number of trials that we need to obtain k successes. • Example: The fraction of a large population that has a specific blood type T is 0.08 (8%). For blood donation purposes we need to find 5 people with blood type T. If randomly selected individuals from the population are tested one after the other, then a) What is the probability that y persons have to be tested to get 5 type T persons? a) What is the probability that over 80...
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Lecture14_updated - successes that we will obtain Negative...

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