Question

Explain whether the given random variable has a binomial distribution.

Lefties Exactly $10\%$of the students in a school are left-handed. Select students at random from the school, one at a time, until you find one who is left-handed. Let $V=$the number of students chosen.

Short answer

The given distribution is not binomial

Step-by-step solution

Given Explanation

Exactly $10\%$of the students in a school are left-handed.

We have to find students one who is left-handed at random from the school.

Explanation

The variable $V$in this question is not a binomial distribution because each subsequent draw is dependent on the preceding draw because there is no fixed amount of pieces drawn each time. Only after a left-handed person is found is the draw made.