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Determine each of the following distributions (Bernoulli, Binomial, Geometric and Poisson) Telephone surveying a group of...

Determine each of the following distributions (Bernoulli, Binomial, Geometric and Poisson)

Telephone surveying a group of 200 people, record the number of them voting for Joe Biden

Math   Statistics-And-Probability   
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Answer #1

Solution:

Given: Telephone surveying a group of 200 people, record the number of them voting for Joe Biden

We have to determine distribution of this variable.

Thus we have:

n = Number of trials = Number of surveyed people = 200

x = Number people vote for Joe Biden.

Responses would be either Vote to Joe Biden or didn't vote to Joe Biden.

thus outcomes are either success or failure.

There would be some chance or fix probability p of voting to Joe Biden.

Thus random variable x = Number people vote for Joe Biden follows Binomial distribution with parameters n and p.

Thus required answer is: Binomial.

(Note: For Bernoulli , we use only one trial , for Geometric and Poisson, n = number of trials are not fixed ,so Bernoulli, Geometric and Poisson are not suitable for this variable).

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