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Chapter 6: Q.71 (page 403)

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

Expert verified

The given distribution is not binomial

Step by step solution

01

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.

02

Explanation

The variable Vin 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.

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