Question

For each of the following situations, determine whether the given random variable has a binomial distribution. Justify your answer.

Choose three students at random from your class. Let $Y=$the number who are over $6$feet tall.

Short answer

No, the variable $Y$is not binomial distribution.

Step-by-step solution

Given Information 

Choose three students at random from your class.

$Y=$the number who are over 6 feet tall.

Explanation 

Our observations are not independent since we are selecting students without replacement.

A total of $3$trials will be conducted in advance.

No matter who you are, your chances of success are the same.

A binomial setting is not appropriate here.