If an experiment involves: a) a random sample of size

gamau6v

gamau6v

Answered question

2021-11-29

If an experiment involves: a) a random sample of size n is selected without replacement from N items, and b) of the N items, k may be classified as successes and Nk are classified as failures, this falls under:
a. negative binomial
b. geometric
c. poisson
d. hypergeometric

Answer & Explanation

juniorekze

juniorekze

Beginner2021-11-30Added 18 answers

Hypergeometric Distribution: If a discrete random variable X assumes only non-negative values, it is said to follow the hypergeometric distribution, and its probability mass function (PMF) is given by 
p(X=k)=(Mk)(NMnk)(Nn);k=0,1,2,...,min(n,M) 
where N, M and n are the three parameters of hypergeometric distribution. 
It is a characteristic of the hypergeometric distribution from the given problem.
One of the statistical experiments of this kind in theoretical discrete probability distributions is the hypergeometric distribution. 
That has the following properties like: A sample of size n is randomly selected without replacement from a population of N items. In the population, k items can be classified as successes, and Nk items can be classified as failures this falls under Hypergeometric Distribution. 
Use the hypergeometric distribution with populations that are so small that the outcome of a trial has a large effect on the probability that the next outcome is an event or non-event. For example, in a population of 10 people, 7 people have blood pressure (BP).

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