Answer in Statistics and Probability for yes #231906

A math competition hosted by HOD has the following rules. Each team will be composed of four (4) people and each

team will try to answer ten (10) math questions of the same difficulty. You are only required to answer seven (7) out

Don't use plagiarized sources. Get Your Custom Essay on
Answer in Statistics and Probability for yes #231906
Just from $13/Page
Order Essay

of the 10 questions correctly. If you are able to answer 7 questions, the team should raise their flag and a proctor will

approach them to verify if they successfully answered 7 questions correctly.

If in case the correct answer is less than 7, the proctor will give you another chance to work on achieving 7 correct

answers. If the team already got 7 correct answers, the proctor will record that time. The team with the best time will

win 1% of the PHP 67,000,000,000 HOD has in their funds.

The probability of answering a question correctly is 0.45.

Let X be the number of getting correct answers out of the 10 questions.

Let Y be the number of times the proctors approach the team to verify if the team successfully answered 7 questions

correctly.

P(Solving a question correctly) = 0.45

Number of questions = 10

X is a random variable denoting the number of correct questions

Therefore 

“Xu2014Binomial(n = 10,p = 0.45) \\nP(X = x)= \begin{pmatrix}n 10 \\n xn\end{pmatrix} (0.45)^x (1-0.45)^{ 10-x}, x = 0,1,2, …,10”

P(Solving seven or more questions correct) “= P(Xu2265 7)”

“= P(X = 7)+ P(X = 8)+ P(X = 9)+ P(X = 10)”

“=\begin{pmatrix}n 10 \\n 7n\end{pmatrix} (0.45)^7(0.55)^{10-7}+\begin{pmatrix}n 10 \\n 8n\end{pmatrix} (0.45)^8(0.55)^{10-8} + \begin{pmatrix}n 10 \\n 9n\end{pmatrix} (0.45)^9(0.55)^{10-9}+\begin{pmatrix}n 10 \\n 10n\end{pmatrix} (0.45)^{10}(0.55)^{10-10}\\”

“= 0.07460311 + 0.02288959 + 0.004161744 + 0.0003405063 = 0.101995”

P(Solving seven or more questions correct) “= 0.102”

Thus,

Y follows a Geometric distribution with “p = 0.102”

“P(Y = y) = 0.102 * (1- 0.102)^{y-1}, y= 1,2,3,…\\nP(Y = y) = 0.102 * (1- 0.102)^{y-1}, y= 1,2,3,…\\”

P(Proctor checking 5 times until I solved 7 question correctly)“= P(Y = 5)”

“P(Y = 5) = 0.102 * (1u2014 0.102)5-1 = 0.0663”

P(Proctor checking 5 times until I solved 7 question correctly) = 0.0663 

What Will You Get?

We provide professional writing services to help you score straight A’s by submitting custom written assignments that mirror your guidelines.

Premium Quality

Get result-oriented writing and never worry about grades anymore. We follow the highest quality standards to make sure that you get perfect assignments.

Experienced Writers

Our writers have experience in dealing with papers of every educational level. You can surely rely on the expertise of our qualified professionals.

On-Time Delivery

Your deadline is our threshold for success and we take it very seriously. We make sure you receive your papers before your predefined time.

24/7 Customer Support

Someone from our customer support team is always here to respond to your questions. So, hit us up if you have got any ambiguity or concern.

Complete Confidentiality

Sit back and relax while we help you out with writing your papers. We have an ultimate policy for keeping your personal and order-related details a secret.

Authentic Sources

We assure you that your document will be thoroughly checked for plagiarism and grammatical errors as we use highly authentic and licit sources.

Moneyback Guarantee

Still reluctant about placing an order? Our 100% Moneyback Guarantee backs you up on rare occasions where you aren’t satisfied with the writing.

Order Tracking

You don’t have to wait for an update for hours; you can track the progress of your order any time you want. We share the status after each step.

image

Areas of Expertise

Although you can leverage our expertise for any writing task, we have a knack for creating flawless papers for the following document types.

Areas of Expertise

Although you can leverage our expertise for any writing task, we have a knack for creating flawless papers for the following document types.

image

Trusted Partner of 9650+ Students for Writing

From brainstorming your paper's outline to perfecting its grammar, we perform every step carefully to make your paper worthy of A grade.

Preferred Writer

Hire your preferred writer anytime. Simply specify if you want your preferred expert to write your paper and we’ll make that happen.

Grammar Check Report

Get an elaborate and authentic grammar check report with your work to have the grammar goodness sealed in your document.

One Page Summary

You can purchase this feature if you want our writers to sum up your paper in the form of a concise and well-articulated summary.

Plagiarism Report

You don’t have to worry about plagiarism anymore. Get a plagiarism report to certify the uniqueness of your work.

Free Features $66FREE

  • Most Qualified Writer $10FREE
  • Plagiarism Scan Report $10FREE
  • Unlimited Revisions $08FREE
  • Paper Formatting $05FREE
  • Cover Page $05FREE
  • Referencing & Bibliography $10FREE
  • Dedicated User Area $08FREE
  • 24/7 Order Tracking $05FREE
  • Periodic Email Alerts $05FREE
image

Our Services

Join us for the best experience while seeking writing assistance in your college life. A good grade is all you need to boost up your academic excellence and we are all about it.

  • On-time Delivery
  • 24/7 Order Tracking
  • Access to Authentic Sources
Academic Writing

We create perfect papers according to the guidelines.

Professional Editing

We seamlessly edit out errors from your papers.

Thorough Proofreading

We thoroughly read your final draft to identify errors.

image

Delegate Your Challenging Writing Tasks to Experienced Professionals

Work with ultimate peace of mind because we ensure that your academic work is our responsibility and your grades are a top concern for us!

Check Out Our Sample Work

Dedication. Quality. Commitment. Punctuality

It May Not Be Much, but It’s Honest Work!

Here is what we have achieved so far. These numbers are evidence that we go the extra mile to make your college journey successful.

0+

Happy Clients

0+

Words Written This Week

0+

Ongoing Orders

0%

Customer Satisfaction Rate
image

Process as Fine as Brewed Coffee

We have the most intuitive and minimalistic process so that you can easily place an order. Just follow a few steps to unlock success.

See How We Helped 9000+ Students Achieve Success

image

We Analyze Your Problem and Offer Customized Writing

We understand your guidelines first before delivering any writing service. You can discuss your writing needs and we will have them evaluated by our dedicated team.

  • Clear elicitation of your requirements.
  • Customized writing as per your needs.

We Mirror Your Guidelines to Deliver Quality Services

We write your papers in a standardized way. We complete your work in such a way that it turns out to be a perfect description of your guidelines.

  • Proactive analysis of your writing.
  • Active communication to understand requirements.
image
image

We Handle Your Writing Tasks to Ensure Excellent Grades

We promise you excellent grades and academic excellence that you always longed for. Our writers stay in touch with you via email.

  • Thorough research and analysis for every order.
  • Deliverance of reliable writing service to improve your grades.
Place an Order Start Chat Now
image