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Chapter 4: Q. 32 (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.

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

- Let P(x)=the probability that a student will study ballet xyears.

On average, how many years would you expect a child to study ballet with this teacher?

Short Answer

Expert verified

On average, a youngster will spend 4.5years studying dance.

Step by step solution

01

Table for no of students and probability

02

Explanation

From table,

x1P(x1)=0.1,x2P(x2)=0.1,x3P(x3)=0.3.

x4P(x4)=0.6,x5P(x5)=1.5,x6P(x6)=1.2,x7P(x7)=0.7.

渭=鈭�i=17xiPxi

=0.1+0.1+0.3+0.6+1.5+1.2+0.7

=4.5years

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