Hypergeometric distribution, Mathematics

Assignment Help:

Hypergeometric Distribution

Consider the previous example of the batch of light bulbs. Suppose the Bernoulli experiment is repeated without replacement. That is, once a bulb is tested, it will be set aside.

         If X   = number of successes, then

969_hypergeometric.png

It can be shown that for the Hypergeometric Distribution

884_hypergeometric distribution.png

It should be intuitively clear that if nM/N is small enough, the hypergeometric distribution may be replaced by the binomial distribution. In our development of the subject, we will do so if n/N £ 0.05.


Related Discussions:- Hypergeometric distribution

Numeric patterns, Kelli calls her grandmother every month Kelli also calls ...

Kelli calls her grandmother every month Kelli also calls her cousin.If Kelli calls her cousin in January, how many calls will Kelli have made to her grandmother and her cousin by t

representative value or an extreme value, A population forms a normal dist...

A population forms a normal distribution with a mean of μ=80 and a standard deviation of o=15. For every samples, compute the z-score for the sample mean and determine whether the

Basic indefinite integrals- computing indefinite integrals, Basic indefinit...

Basic indefinite integrals The first integral which we'll look at is the integral of a power of x.                                ∫x n dx = (x n +1 / n + 1)+ c,          n

Relationship between the shortest path distances - tree, 1. a)  Given a dig...

1. a)  Given a digraph G = (V,E), prove that if we add a constant k to the length of every arc coming out from the root node r, the shortest path tree remains the same.  Do this by

Do yall, do yall help kids in 6th grade

do yall help kids in 6th grade

Describe about parallel and perpendicular lines, Describe about Parallel an...

Describe about Parallel and Perpendicular Lines ? Parallel Lines : Parallel lines are coplanar lines (lines that lie in the same plane) that never intersect. The bl

Levels of significance - rejection and acceptance regions, Levels of signif...

Levels of significance A level of significance is a probability value which is utilized when conducting tests of hypothesis. A level of significance is mostly the probability

What is the length of the longer base, The longer base of a trapezoid is th...

The longer base of a trapezoid is three times the shorter base. The nonparallel sides are congruent. The nonparallel side is 5 cm more that the shorter base. The perimeter of the t

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd