# Binomial Coefficient

Binomial coefficient: The formula used to calculate the probability for each possible outcome of a trial and to create the binomial probability distribution.

The binomial coefficient formula contains the variables N and r. The N represents sample size or the total number of trials. As an example, we will use a hypothetical study of jail inmates who have been booked on arrest and are awaiting word as to whether they will be released on bail or whether they will remain confined while they await criminal-court proceedings. The Bureau of Justice Statistics (BJS) reports that 62% of felony defendants are released from jail prior to the final disposition of their case (Reaves, 2013), so p = .62. Let’s say we draw a random sample of five recently arrested jail inmates. This means that for the binomial coefficient formula, N = 5.

Don't use plagiarized sources. Get Your Custom Essay on
Binomial Coefficient
Just from \$13/Page

In the binomial coefficient, r represents the number of successes or, in other words, the number of times the outcome of interest happens over N trials. A researcher decides what “success” will mean in a given study. In the current example, we will define success as a defendant obtaining pretrial release. There are multiple values that r takes on in any given study, since there are multiple possible successes. If we wanted to find the probability that three of the five defendants would be released, we would input r = 3 into the binomial coefficient formula; if we wanted the probability that all five would be released, then r = 5.

Pages (550 words)
Approximate price: -

Why Work with Us

Top Quality and Well-Researched Papers

Our writers have been trained on how to handle papers placed by our clients. The writer must read and understand before embarking on writing the papers. In case of any issue that needs clarification, writers are encouraged to ask the client or support.

Our team comprises of the best writers and editors. We do thorough vetting during recruitment to make sure that our writers have the knowledge and experience we aspire in the team.

Free Unlimited Revisions

Our aim is to give the client the best outcome. If for some reason you are not satisfied with the wok done, you can ask the paper to be revised or rewritten. This will be done to your satisfaction with no extra charges.

Prompt Delivery and 100% Money-Back-Guarantee

We have writers who work round the clock. This helps in making sure that all our clients’ papers are delivered on time. If we have issues with the deadline, we will ask for extension. If its not possible, the money is fully refunded.

Original & Confidential

Our clients’ confidentiality is highly respected. We can never disclose our clients’ details to third parties. In the same regard, we strive to give our clients 100% original papers. We do not tolerate plagiarism from our writers.

Clients can reach us any time of the day, and any day of the week. There is a live chat, email or phone numbers to help in ease of communication.

Try it now!

## Calculate the price of your order

Total price:
\$0.00

How it works?

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

Proceed with the payment

Choose the payment system that suits you most.

Our Services

You should never be worried about your papers even in the middle of the night. Our team will work round the clock to deliver.

## Essay Writing Service

We have an able team that can deliver your work in the shortest time possible. The academic level or the type of work should never be a hindrance. Our highly competent support team is always around (24/7) to give you any assistance you may need.