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A division of a company has over 200 employees, 48% of which are male. The company is going to randomly
select 10 of these employees to attend a conference. Let Z = the number of male employees chosen
Is Z a binomial variable? Why or why not?
Choose 1 answer:
Each trial isn't being classified as a success or failure, so Z is not a binomial variable.
B В
There is no fixed number of trials, so Z is not a binomial variable.
The trials are not independent, so Z is not a binomial variable.
This situation satisfies each of the conditions for a binomial variable, so Z has a binomial
distribution

Respuesta :

The correct statement regarding whether Z is a binomial variable is given by:

This situation satisfies each of the conditions for a binomial variable, so Z has a binomial distribution.

What are the three conditions for a variable to be classified as binomial?

They are as follows:

  • In each trial, there can only be two possible outcomes, success or failure.
  • There has to be a fixed number of trials.
  • The trials have to be independent.

In this problem, there are 200 trials, each with a 48% probability of a success, hence the correct statement is given by:

This situation satisfies each of the conditions for a binomial variable, so Z has a binomial distribution.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

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