Question

Which of these is the best distribution to use when we are sampling without replacement, and we are interested in the probability of obtaining a certain sample?

Select one:

a. hypergeometric distribution

b. binomial distribution

c. normal distribution

d. Poisson distribution

Answer 1

the answer is Binomial Distribution .

Let's consider an example . The probability that in a district , probability that a person is infected by Covid -19 virus is p . Now we take a sample of 100 people . Each of these 100 persons is either infected or not . This is a Bernoulli trial . If we count ,without replacement the number of persons infected , then the count follows a binomial distribution with paramener n=100 and p . Thus the answer .

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