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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)=i=13P(xi)

=0.10+0.05+0.10

=0.25

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Most popular questions from this chapter

Define the random variable X.

A hospital researcher is interested in the number of times the average post-op patient will ring the nurse during a 12-hour shift. For a random sample of 50 patients, the following information was obtained. Let X = the number of times a patient rings the nurse during a 12-hour shift. For this exercise, x = 0, 1, 2, 3, 4, 5. P(x) = the probability that X takes on value x. Why is this a discrete probability distribution function (two reasons)?

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

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