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Chapter 4: Q. 56 (page 287)

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.

Short Answer

Expert verified

The random variable Xis defined as:

X=Number of customers arriving at the clothing store per day.

Step by step solution

01

Concept used

The outcome of interest in a random experiment is represented by a variable known as a random variable. It is denoted by upper case alphabets such as X, Y, etc.

02

Given

An experiment that consists of observing the arrival of consumers at the haberdashery store per day. The result of interest is that the number of shoppers that arriveday by day.

03

Explanation of Solution

Therefore, the random variable in this case can be defined as:

X=Number of customers arriving at the clothing store per day.

Since Xcan take only a finite number of values, it is a discrete random variable.

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Most popular questions from this chapter

A group of Martial Arts students is planning on participating in an upcoming demonstration. Six are students of Tae Kwon Do; seven are students of Shotokan Karate. Suppose that eight students are randomly picked to be in the first demonstration. We are interested in the number of Shotokan Karate students in that first demonstration.

a. In words, define the random variable X.

b. List the values that X may take on.

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d. How many Shotokan Karate students do we expect to be in that first demonstration?

Identify the mistake in the probability distribution table.

Use the following information to answer the next five exercises: A physics professor wants to know what percent of physics

majors will spend the next several years doing post-graduate research. He has the following probability distribution.

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

What is the probability of getting 150customers in one day?

More than 96 percent of the very largest colleges and universities (more than 15,000 total enrollments) have some online offerings. Suppose you randomly pick 13 such institutions. We are interested in the number that offer distance learning courses.

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