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Chapter 6: Q.72 (page 403)

Explain whether the given random variable has a binomial distribution.

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

Short Answer

Expert verified

The given distributon is binomial

Step by step solution

01

Given Information

Given that exactly 10%of the students in a school are left-handed

We have to define W=the number who are left-handed if 5students at random from the school

02

Explanation

The variable Xis a binomial distribution in this question because each subsequent draw is independent of the preceding draw, as success is defined as finding a student who is left-handed. Because the sample size of 15 is less than 10% of the total population, each draw can be presumed to be independent.

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