An experiment that satisfies the following four conditions is called a binomial experiment. 1. There are n identical trials. 2. Each trial has two and only two outcomes. These outcomes are usually called a success and a failure. Each trial is called a Bernoulli trial. 3. P(success) = p, P(failure) = q, and p+q-1. The probabilities p and q remain constant for each trial. 4. The trials are independent. For a binomial experiment, the probability of exactly x successes in n trials is given by the binomial formula P(X = x) = {"}p* q** where n = total number of trials p=probability of success q=1-p=probability of failure x = number of successes in n trials n-x= number of failure in n trials Consider the experiment consisting of 50 tosses of a fair coin and let X be the number of heads. Construct a program in R to show that Xis binomial distributed.
An experiment that satisfies the following four conditions is called a binomial experiment. 1. There are n identical trials. 2. Each trial has two and only two outcomes. These outcomes are usually called a success and a failure. Each trial is called a Bernoulli trial. 3. P(success) = p, P(failure) = q, and p+q-1. The probabilities p and q remain constant for each trial. 4. The trials are independent. For a binomial experiment, the probability of exactly x successes in n trials is given by the binomial formula P(X = x) = {"}p* q** where n = total number of trials p=probability of success q=1-p=probability of failure x = number of successes in n trials n-x= number of failure in n trials Consider the experiment consisting of 50 tosses of a fair coin and let X be the number of heads. Construct a program in R to show that Xis binomial distributed.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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