Each problem in this homework is worth 10 points unless otherwise

 

Each problem in this homework is worth 10 points unless otherwise indicated.

  1. Social security numbers in the US contain 9 digits in the following format:

    –      –  

         

                                                          Area #  Group #  Serial #

Assume that any number (0-9) is possible for each digit.

(5 points each)

  1. How many different social security numbers are possible?
  2. What is the probability that a social security number starts with a 5?
  3. For a given area number, how many different social security numbers are possible?
  4. Suppose a hacker gets a hold of the last four numbers of your social security number (the serial number).  What is the probability that the hacker randomly guesses your full social security number?
  5. A compact disc (CD) contains 15 songs.  How many different playing orders are possible for the 15 songs on the CD? 
  6. John has a standard deck of cards.  After shuffling them, he deals you a 5 card hand.  What is the probability that your hand contains a royal flush (an ace, king, queen, jack and ten of the same suit)?  Note: the order that the cards are dealt is not important here.
  7. On The Price is Right game show, a Showcase Showdown occurs where three contests are asked to spin the Big Wheel which contains 20 sections showing values from 5¢ – $1.00 in increments of 5¢.  If in one round of the Showcase Showdown 3 contestants spin the Big Wheel, what is the probability that all 3 contestants spin an amount over 75¢ on their first spin?
  8. A computer company produces laptops.  For this particular company, for every 100 laptops made one laptop is defective.  If Lindsay goes shopping for 20 laptops, what is the probability that 3 of the laptops are defective?
  9. A company is composed of 5 senior executives, 10 executives and 5 secretaries.  A 5 person committee is formed to attack a particular issue.  
  10. How many different 5 person committees are possible?
  11. If the committee must be composed of 2 senior executives, 2 executives and 1 secretary, how many different 5 person committees are possible?
  12. A bag contains a red marble, a blue marble and a yellow marble.  A marble is selected at random 4 times with replacement.  How many events will form a full group of events?  Also, list all of these events in which the first draw results in a red marble being selected.
  13. A cube has all of its sides painted in blue and then is cut into 343 cubes of the same size. All cubes are placed in an urn and are thoroughly mixed, so that the probability of being randomly picked from the urn is the same for all cubes. What is the probability that a randomly picked cube has at least one of its sides painted blue?
  14. A Rubik’s cube in which each side is painted one of six colors (white, orange, red, blue, green and yellow).

http://a.tgcdn.net/images/products/zoom/rubix_cube.jpg

Suppose each side of the Rubik’s cube consists of only one color, if the Rubik’s cube is tossed 6 times what is the probability that the cube will land on the red side at least 4 times?

  1. There are twelve raffle tickets, three of which are winners. Find the probability that in a sample of 5 tickets there will be no more than one winning ticket.
University Writings
Calculate your paper price
Pages (550 words)
Approximate price: -

Why Work with Us

Top Quality and Well-Researched Papers

We always make sure that writers follow all your instructions precisely. You can choose your academic level: high school, college/university or professional, and we will assign a writer who has a respective degree.

Professional and Experienced Academic Writers

We have a team of professional writers with experience in academic and business writing. Many are native speakers and able to perform any task for which you need help.

Free Unlimited Revisions

If you think we missed something, send your order for a free revision. You have 10 days to submit the order for review after you have received the final document. You can do this yourself after logging into your personal account or by contacting our support.

Prompt Delivery and 100% Money-Back-Guarantee

All papers are always delivered on time. In case we need more time to master your paper, we may contact you regarding the deadline extension. In case you cannot provide us with more time, a 100% refund is guaranteed.

Original & Confidential

We use several writing tools checks to ensure that all documents you receive are free from plagiarism. Our editors carefully review all quotations in the text. We also promise maximum confidentiality in all of our services.

24/7 Customer Support

Our support agents are available 24 hours a day 7 days a week and committed to providing you with the best customer experience. Get in touch whenever you need any assistance.

Try it now!

Calculate the price of your order

Total price:
$0.00

How it works?

Follow these simple steps to get your paper done

Place your order

Fill in the order form and provide all details of your assignment.

Proceed with the payment

Choose the payment system that suits you most.

Receive the final file

Once your paper is ready, we will email it to you.

Our Services

No need to work on your paper at night. Sleep tight, we will cover your back. We offer all kinds of writing services.

Essays

Essay Writing Service

No matter what kind of academic paper you need and how urgent you need it, you are welcome to choose your academic level and the type of your paper at an affordable price. We take care of all your paper needs and give a 24/7 customer care support system.

Admissions

Admission Essays & Business Writing Help

An admission essay is an essay or other written statement by a candidate, often a potential student enrolling in a college, university, or graduate school. You can be rest assurred that through our service we will write the best admission essay for you.

Reviews

Editing Support

Our academic writers and editors make the necessary changes to your paper so that it is polished. We also format your document by correctly quoting the sources and creating reference lists in the formats APA, Harvard, MLA, Chicago / Turabian.

Reviews

Revision Support

If you think your paper could be improved, you can request a review. In this case, your paper will be checked by the writer or assigned to an editor. You can use this option as many times as you see fit. This is free because we want you to be completely satisfied with the service offered.