/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 8 Give the range of values that th... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 8: Problem 8

Give the range of values that the random variable \(X\) may assume and classify the random variable as finite discrete, infinite discrete, or continuous. \(X=\) The number of defective watches in a sample of eight watches

Short Answer

Expert verified
The range of values for the random variable \(X\) is between 0 and 8 inclusive, as it represents the number of defective watches in a sample of eight watches. It can assume any integer value in this range. The random variable \(X\) is classified as a finite discrete random variable because it takes on a finite number of distinct values.

Step by step solution

01

To determine the range of values the random variable \(X\) may take, we need to consider the minimum and maximum number of defective watches in a sample of eight watches. The minimum number of defective watches is 0 (no defective watches), and the maximum is 8 (all watches are defective). Thus, the random variable \(X\) can assume any integer value between 0 and 8, inclusive. #Step 2: Classify the random variable X#

Now that we know the range of values for \(X\), we can classify it as finite discrete, infinite discrete, or continuous. \(X\) takes integer values between 0 and 8, which are countable. Since the random variable takes on a finite number of distinct values, we can classify the random variable \(X\) as finite discrete. So, the range of values for the random variable \(X\) is between 0 and 8 inclusive, and it is a finite discrete random variable.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Bob, the proprietor of Midland Lumber, feels that the odds in favor of a business deal going through are 9 to 5\. What is the (subjective) probability that this deal will not materialize?

QuAury CoNTRoL As part of its quality-control program, the video-game DVDs produced by Starr Communications are subjected to a final inspection before shipment. A sample of six DVDs is selected at random from each lot of DVDs produced, and the lot is rejected if the sample contains one or more defective DVDs. If \(1.5 \%\) of the DVDs produced by Starr is defective, find the probability that a shipment will be accepted.

Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. Both the variance and the standard deviation of a random variable measure the spread of a probability distribution.

Use the appropriate normal distributions to approximate the resulting binomial distributions. The manager of \(C\) \& \(R\) Clothiers, a manufacturer of men's dress shirts, has determined that \(3 \%\) of C \& R's shirts do not meet with company standards and are sold as "seconds" to discount and outlet stores. What is the probability that, in a production run of 200 shirts, fewer than 10 will be classified as "seconds"?

Use the appropriate normal distributions to approximate the resulting binomial distributions. Preview Showcase, a research firm, screens pilots of new TV shows before a randomly selected audience and then solicits their opinions of the shows. Based on past experience, \(20 \%\) of those who receive complimentary tickets are "no-shows." The theater has a seating capacity of \(500 .\) Management has decided, for public relations reasons, that \(99 \%\) of all ticket holders will be seated. How many tickets should the company send out to prospective viewers for each screening?
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Calculus

Read Explanation

Probability and Statistics

Read Explanation

Decision Maths

Read Explanation

Applied Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.