binomial distributions

A trial, which has only two outcomes i.e., "a success" or "a failure", is called a Bernoulli trial . The probability distribution of the number of successes, so obtained is called the binomial distribution..

A trial, which has only two outcomes i.e., "a success" or "a failure", is called a Bernoulli trial. Let X be the number of successes in a Bernoulli trial, then X can take 0 or 1 and P(X =1) = p = "probability of a success" P(X = 0) = 1 - p = q = "probability of failure". Consider a random experimen..

We shall now deduce the Poisson distribution from the binomial distribution by assuming that n and p 0 such that the product np always remains finite, say l . We shall now use a very important result of limits in Calcu..

Introduction - Suppose the two events are not independent, that is the occurrence of one depends on the occurrence of other, then how do we compute This can be explained by conditional probability. Baye's theorem is named after the British mathematician Thomas Bayes who published it in a research p..

Say whether the normal distribution can be used as an approximation to the binomial distribution shown here. n = 20 and p = 0.8 => false or true or cannot be determined...

n = 100, p = 0.25. Find the mean and variance when the conditions for the binomial distribution are met. => 75, 18.75 or 25, 12.25 or 75, 12.25 or 25, 18.75..

Select the correct statement(s): I. A binomial experiment has only 2 trials. II. The sum of the probabilities of all outcomes in a probability distribution is 1. III. Testing by administering a drug on 100 patients to determine whether it is effective or not is a binomial..

Poisson Distribution - Poisson distribution is a limiting process of binomial distribution. Poisson distribution occurs when there are events which do not occur as outcomes of a definite number of outcomes. Poisson distribution is used und..

To calculate the confidence interval for variance or standard deviation, a statistical distribution called ______ is needed. => chi-square distribution or binomial distribution or poisson distribution or multinomial distribution..

If the mean and variance of a binomial distribution are respectively 9 and 6, find the distribution..