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Binomial Distribution
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..
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..
Bayes Theorem, Binomial and Poisson Distributions
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..
When can the normal distribution be used as an approximation to the bi..
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..
Poisson Distribution
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..
Select the correct statement(s):I. A binomial experiment has only 2 tr..
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..
Distribution
Light affects the distribution of animals by affecting the vegetation. For example Tundra biome is characterized by insufficient light, low temperature, less vegetation so less animal life. While tropical area is characterized by high rainfall, strong light, sufficient vegetation and abu..
Binomial Theorem
1. A sentence is called a statement if it can be adjudged as true or false. Every statement is a sentence, but a sentence may or may not be a statement. 2. A statement involving natural number n is generally denoted by P(n). 3. A binomial is an algebraic expression o..
Binomial Theorem
Introduction - A binomial is an algebraic expression of two terms which are connected by the operations '+' or '-'. For n = 1,2,3,4, the expansion of (a + b) n , has been expressed in a very systematical manner in terms of combinatorial coefficients. The above expression suggest the conje..
Say whether the normal distribution can be used as an approximation to..
Say whether the normal distribution can be used as an approximation to the binomial distribution shown here. n = 30 and p = 0.5 => cannot be determined or true or false..
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