Page

of 3

Pages

Data Assignment #3 ( 100 pts) Each student should have unique answers for Q1 and Q 2: this is not a group assignment !1. Design your own game , similar to the example in the course notes on page 89 . and the lotto example in the document in CANVAS/FILES called RANDOM VARIABLES.Do not use a die roll for your game. Some ideas could use cards, spinners , or a similar device .( 10 pts) a. Describe the scenario, and provide the probability distribution for the payout scheme. Your game should have a negative expected value ( favors the house not the player) and at least one positive payout. So you have to think about this a bit to make sure it works out correctly.(15 pts) b. Based on your probability distribution, compute the mean payout per play and the standard deviation.( 10 pts) c. Simulate 10000 plays of your game in Statcrunch:Create a column called “game”, and enter values that generate the correct the probability of each outcome. For example, the example in course notes p. 89, I would enter game11- 1.50- 1.50-1.752.5Then click Data / Sample . Choose “game” as variable. Change the sample size to 10000 and check SAMPLE WITH REPLACEMENT . Click Compute .Use Statcrunch to Compute the mean and standard deviation of your 10000 simulated plays.Copy and paste the summary stats showing n , mean , and standard deviation.

2. Create a Binomial Probability Experiment. Recall that this means the experiment must have n independent success/failure trials with the probability of success (p) and failure (q) the same each time . a. (20 pts) Describe your scenario here. Define a Binomial Random Variable X.Make sure you clearly define what a success is, and what n, p , and q are for your scenario. There is no specific value of x here, since this is a general scenario not associated with a particular number of successes.OFF LIMITS: coin flips, die rolls, any example I have used in class.b. ( 10 pts) Illustrate your scenario, either by a photo, original art, clip art , or any other illustration .( 10 pts) c. YOU WILL ONLY WORK ONE OF THE FOLLOWING OPTIONS BASED ON YOUR SCENARIO.If your value of p is less than or equal to .5 , Use Statcrunch / Stat/ Calculators/ Binomial to find the probability that 2/5 OR MORE of your trials result in a success .If your value of p is greater than .5 , Use Statcrunch / Stat/ Calculators/ Binomial to find the probability that at 3/5 OR LESS of your trials result in a success For example , if n= 50 and p = .6 , you would find P(X <= 50*3/5 ) = P( X <= 30 ) . For example , if n= 50 and p = .4 , you would find P(X >= 50*2/5 ) = P( X >= 20 ) . Round up to next whole number if n *2/5 or n * 3/5 is not a whole number.(10 pts) d. Compute the mean and standard deviation for your scenario by hand using formulas mean = np and std dev. = sqrt( npq), ( 15 pts) e. Use Statcrunch to simulate 10000 rounds your experiment:select Data/ Simulate / Binomial. Enter 10000 for rows, and 1 for columns. Enter the values for n and p for your scenario .Click Compute Create a relative frequency histogram of your results. Show it here:Approximate the answer to part c by placing the cursor over the graph for the appropriate classes and added up the relative frequencies .

Don't use plagiarized sources. Get Your Custom Essay on

MATH245

Get an essay WRITTEN FOR YOU FOR YOU, Plagiarism free, and by an EXPERT!

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!

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

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.