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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 6feet tall.

Short Answer

Expert verified

No, the variable Yis not binomial distribution.

Step by step solution

01

Given Information 

Choose three students at random from your class.

Y=the number who are over 6 feet tall.

02

Explanation 

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

A total of 3trials will be conducted in advance.

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

A binomial setting is not appropriate here.

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