MAT 2051 Unit 3 Discussion DQ1 Networking and Probability
MAT 2051 Unit 3 Discussion DQ1 Networking and Probability
Probability and statistics allow us to make decisions when dealing with uncertain variables. For example, assume you are the network administrator of a large firm and have ordered 100 RAID (redundant array of independent disks) devices. You would like to make sure all of the RAIDs work before sending them to different departments. But you do not have time to check all of the devices. If you check some of them and show they work, how confident could you be that all 100 devices work?
Of course, testing all of the RAIDs would be the best way to be confident, but assume you do not have the time. If you only have time to check 5 of the 100, and none of the 5 are defective, how confident would you be that none of the other microprocessors are defective (that is, all 100 devices are fully functional)?
Answer the following questions, which will help you understand the problem. Explain each question and your answer:
How can you use discrete probability to calculate the probability of testing 5 devices such that all 5 end up being nondefective RAIDs, given there are 20 defective RAIDs total of the original 100 RAID devices?
What is the sample space in this problem?
Is this a ratio of combinations or permutations problem? Explain why and show an example. Hint: Read section 6.5 and see Example 6.5.4 in your textbook.
Assume there are exactly 5 defective RAIDs out of the 100 RAID devices. What is the probability of testing 20 RAIDs at random and finding all of them nondefective?
Review the Discussion Participation Scoring Guide prior to posting.
Response Guidelines
Read your peers’ posts and respond to two. Do you agree with your peer’s assessment? Explain.
APA Writing Checklist
Use this document as a checklist for each paper you will write throughout your GCU graduate program. Follow specific instructions indicated in the assignment and use this checklist to help ensure correct grammar and APA formatting. Refer to the APA resources available in the GCU Library and Student Success Center.
☐ APA paper template (located in the Student Success Center/Writing Center) is utilized for the correct format of the paper. APA style is applied, and format is correct throughout.
☐ The title page is present. APA format is applied correctly. There are no errors.
☐ The introduction is present. APA format is applied correctly. There are no errors.
☐ Topic is well defined.
☐ Strong thesis statement is included in the introduction of the paper.
☐ The thesis statement is consistently threaded throughout the paper and included in the conclusion.
☐ Paragraph development: Each paragraph has an introductory statement, two or three sentences as the body of the paragraph, and a transition sentence to facilitate the flow of information. The sections of the main body are organized to reflect the main points of the author. APA format is applied correctly. There are no errors.
☐ All sources are cited. APA style and format are correctly applied and are free from error.
☐ Sources are completely and correctly documented on a References page, as appropriate to assignment and APA style, and format is free of error.
Scholarly Resources: Scholarly resources are written with a focus on a specific subject discipline and usually written by an expert in the same subject field. Scholarly resources are written for an academic audience.
Examples of Scholarly Resources include: Academic journals, books written by experts in a field, and formally published encyclopedias and dictionaries.
Peer-Reviewed Journals: Peer-reviewed journals are evaluated prior to publication by experts in the journal’s subject discipline. This process ensures that the articles published within the journal are academically rigorous and meet the required expectations of an article in that subject discipline.
Empirical Journal Article: This type of scholarly resource is a subset of scholarly articles that reports the original finding of an observational or experimental research study. Common aspects found within an empirical article include: literature review, methodology, results, and discussion.
Adapted from “Evaluating Resources: Defining Scholarly Resources,” located in Research Guides in the GCU Library.
☐ The writer is clearly in command of standard, written, academic English. Utilize writing resources such as Grammarly, LopesWrite report, and ThinkingStorm to check your writing.
Check Out Also: MAT 2051 Unit 3 Discussion DQ2 Practice Problem Set Review