Show formally that given k successes in n Bernoulli trials, the probability of success for any single trial is k/n. (Hint: Count the number of ways that a success can occur on a particular trial.)
(a) What is the 10 probability of 10 straight successes in a sequence of Bernoulli trials?
(b) Given 10 straight successes, what is the probability of a success on the 11th trial?
(c) The popular conception of the “law of averages” states that the portion of successes in n trials should be P. Show that this can be stated precisely using Chebyshev inequality and is the form of the strong law of large numbers. Reconcile (b) and (c).
Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.
You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.Read more
Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.Read more
Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.Read more
Your email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.Read more
By sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.Read more