STAT 100A Lecture 19: de Moivre-Laplace Limit Theorem Notes

28 views1 pages

graygnu278

15 Apr 2016

School

Department

Course

Professor

For unlimited access to Class Notes, a Class+ subscription is required.

Document Summary

De moivre-laplace limit theorem (de moivre-laplace limit theorem). Theorem successes that occur when n independent trials, each with probability of success p, are performed. Then, for any a < b, lim n . To determine the e ectiveness of a certain diet in reducing the amount of cholesterol in the bloodstream, 100 people are put on the diet. The nutritionist in charge of this experiment has decided to endorse this diet if at least 65% of the people have lower cholesterol levels than before. If the diet has no e ect on cholesterol levels,

Related Questions

What are the four conditions necessary for x to have a binomial distribution? Mark all that apply.

A) The probability of success, p, is constant from trial to trial.

B) There can only be two outcomes, success and failure.

C) The trials must be independent.

D) You must have at least 10 successes and 10 failures.

E) X can take on any value in an interval.

F) X counts the number of trials until you get a success.

G) There are n set trials.

greenhare968

Consider 3 trials, each having the same probability of success. Let X denote the total number of successes in these trials. If E[X]=1.8, what is (a) the largest possible value of P{X=3}? (b) the smallest possible value of P{X=3}? In both cases, construct a probability scenario that results in P{X=3} having the stated value. Hint: For part (b), you might start by letting U be a uniform random variable on (0, 1) and then defining the trials in terms of the value of U.