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Chapter 4: Q. 31 (page 285)

Use the following information to answer the next seven exercises: A ballet instructor is interested in knowing what percent of each year's class will continue on to the next, so that she can plan what classes to offer. Over the years, she has established the following probability distribution.

- Letx=the number of years a student will study ballet with the teacher.

- LetP(x)=the probability that a student will study balletxyears

Short Answer

Expert verified

Probability ofP(x<4)is 0.25.

Step by step solution

01

Given information

xis the number of years a student will study ballet with the teacher.

P(1)=0.10.

P(2)=0.05.

P(3)=0.10

02

Calculation for probabiltiy

Table as,

From table,

P(x<4)=鈭�i=13P(xi)

=0.10+0.05+0.10

=0.25

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Most popular questions from this chapter

Identify the mistake in the probability distribution table.

Use the following information to answer the next five exercises: Suppose that a group of statistics students is divided into two groups: business majors and non-business majors. There are 16business majors in the group and seven non-business majors in the group. A random sample of nine students is taken. We are interested in the number of business majors in the sample.

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Approximately 8% of students at a local high school participate in after-school sports all four years of high school. A group of 60 seniors is randomly chosen. Of interest is the number who participated in after-school sports all four years of high school.

a. In words, define the random variable X.

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