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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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Most popular questions from this chapter

Ms. Hall gave her class a 10-question multiple-choice quiz. Let X=the number of questions that a randomly selected student in the class answered correctly. The computer output below gives information about the probability distribution of X. To determine each student鈥檚 grade on the quiz (out of localid="1649489099543" 100), Ms. Hall will multiply his or her number of correct answers by 10. Let localid="1649489106434" G=the grade of a randomly chosen student in the class.

localid="1649489113566" NMeanMedianStDevMinMaxQ1Q3307.68.51.3241089

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Explain whether the given random variable has a binomial distribution.

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

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