binomial distribution outcomes

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..

We have P(X = x + 1) = n C x + 1 p x + 1 q n - x - 1 ..

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..

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 distribut..

When can the normal distribution be used as an approximation to the binomial distribution? => n . p = 5, n . q = 5 or n . p ≤ 5, n . q ≤ 5 or n . p > 5, n . q < 5 or n . p ≥ 5, n . q ≥ 5..

Select the requirements of a binomial probability experiment. I. There must be fixed number of trials. II. Each trial can have only two outcomes, or outcomes that can be reduced to two outcomes. III. The outcomes of each trial must be dependent on e..

Random Variable and Probability Distribution - If is often very important to allocate a numerical value to an outcome of a random experiment. For example consider an experiment of tossing a coin twice and note the number of heads (x) obtained. Outcome : HH HT TH TT No...

If is often very important to allocate a numerical value to an outcome of a random experiment. For example consider an experiment of tossing a coin twice and note the number of heads (x) obtained. Outcome : HH HT TH TT No. of heads (x) : 2 1 1 0 x is called a random variable, wh..

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...