Which variable has a binomial distribution?

When tiles are drawn, with replacement, from a bag of numbered tiles, X is the number of times it takes to get an even number.

When tiles are drawn, without replacement, from a bag of numbered tiles, X is the number of times it takes to get an even number.

When tiles are drawn, without replacement, from a bag of numbered tiles, X is the number of even numbers in 4 draws.

When tiles are drawn, with replacement, from a bag of numbered tiles, X is the number of even numbers in 4 draws.

Question

Bolton

Mathematics

3 June, 06:46

Which variable has a binomial distribution?

When tiles are drawn, with replacement, from a bag of numbered tiles, X is the number of times it takes to get an even number.

When tiles are drawn, without replacement, from a bag of numbered tiles, X is the number of times it takes to get an even number.

When tiles are drawn, without replacement, from a bag of numbered tiles, X is the number of even numbers in 4 draws.

When tiles are drawn, with replacement, from a bag of numbered tiles, X is the number of even numbers in 4 draws.

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Answers (1)

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Linda Stokes · Answer 1

When tiles are drawn, with replacement, from a bag of numbered tiles, X is the number of even numbers in 4 draws, variable has a binomial distribution.

Explanation:

A binomial distribution may be thought of as literally the likelihood of an Achievement or Loss result in a multiple-fold trial or sample. The binomial is a form of distribution that has two potential outcomes (the "bi" suffix is two or two).

A binomial random variable is really the number of x outcomes of a binomial experiment in n consecutive trials.

The probability distribution of a random binomial variable is called a binomial distribution. Suppose we turn the coin again and count the number of heads (successes).