Relative Frequency Approximation of Probability

ProbabilityThis discussion activity will familiarize you with probability using an applet. The applet is a simulation of flipping a fair coin a given number of times and then estimating the probability of getting a head using the relative frequency approximation of probability.The probability of getting a head or tail on one flip of a fair coin is 0.5 or 50%. The relative frequency approximation of probability says that the probability of an Event A is estimated by dividing the number of times that Event A occurred by the number of times the trial was repeated. For example, if you flip a coin 10 times and get 4 heads, then you could estimate the probability of getting a head as 4 divided by 10 or 0.4.Run Applet & ReflectUse the Simulating the probability of a head (with a fair coin) (????????)???????? applet and follow steps 1 through 5. (http://media.pearsoncmg.com/cmg/pmmg_mml_shared/an…)At the top left side of the applet, under “Coin Flipping”, select “5 flips”. After the simulation finishes the 5 flips, select “5 flips” again for a total of 10 flips of the coin. Record the number of heads (given in the box labeled Count) in 10 flips of a coin and the cumulative probability of a head based on the ten flips. (The cumulative probability is given in the box labeled Proportion.) Is the number of heads what you expected in 10 flips?Now select 5 flips four more times (you will need to wait for each 5 flips to complete before clicking again.) You should now have 30 flips of the coin (see the Total column). Record the number of heads in 30 flips and the cumulative probability of a head based on 30 flips. What is the longest string of consecutive heads or tails that you got in the 30 flips? Do you think that is unusual? (In the Flips box you can use the scroll bar to look at the individual coins to find consecutive heads or tails. You can also select the box labeled “Convergence” to locate consecutive strings. When you flip heads the line rises and when you flip tails the line falls.)Now select 1000 flips. This should give you 1030 flips of the coin. Record the number of heads and the cumulative probability of a head now.Select 1000 flips one more time so that you have 2030 flips. Record the number of heads and the cumulative probability of a head now.“The Law of Large Numbers states that if an experiment with a random outcome is repeated a large number of times, the empirical probability of an event is likely to be close to the true probability. The larger the number of repetitions, the closer together these probabilities are likely to be” (Text, p. 224). Does the coin flipping process you just completed illustrate the Law of Large Numbers? Why or why not?PostShare your results and reflections from the five steps of the applet activity.

Don't use plagiarized sources. Get Your Custom Essay on
Relative Frequency Approximation of Probability
Just from $13/Page
Order Essay
GradeAcers
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.

Order your essay today and save 15% with the discount code DISCOUNT15