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Chapter 4: Q.29 (page 285)

In words, define the random variable X.

Short Answer

Expert verified

The number of years a student will study contemporary with this dance teacher is the random variable X.

Step by step solution

01

Given Information

The random variableXofcontemporary. instructor wants to know what proportion of last year's class will return the next year so she can plan what classes to provide. She has developed the following probability distribution over the years, where represents the number of years a student will study ballet with the teacher and means the probability of studying for those years.

02

Explanation

The number of years a student will study contemporary.

with this dance teacher is the random variable X.

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Most popular questions from this chapter

In one of its Spring catalogs, L.L. Bean® advertised footwear on 29 of its 192 catalog pages. Suppose we randomly survey 20 pages. We are interested in the number of pages that advertise footwear. Each page may be picked more than once.

a. In words, define the random variable X.

b. List the values that X may take on.

c. Give the distribution of X. X ~ _____(_____,_____)

d. How many pages do you expect to advertise footwear on them?

e. Is it probable that all twenty will advertise footwear on them? Why or why not?

f. What is the probability that fewer than ten will advertise footwear on them?

g. Reminder: A page may be picked more than once. We are interested in the number of pages that we must randomly survey until we find one that has footwear advertised on it. Define the random variable X and give its distribution.

h. What is the probability that you only need to survey at most three pages in order to find one that advertises footwear on it?

i. How many pages do you expect to need to survey in order to find one that advertises footwear?

A customer service center receives about ten emails every half-hour. What is the probability that the customer service center receives more than four emails in the next six minutes? Use the TI-83+ or TI-84 calculator to find the answer.

Find the probability that a physics major will do post-graduate research for four years.

P(x=4)=_______

Use the following information to answer the next six exercises: On average, a clothing store gets 120customers per day.

Assume the event occurs independently in any given day. Define the random variable X.

P(x=4)=_______P(x = 4) = _______
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