probability formula

If the variance of the Poisson distribution is 2, find the probabilities for r = 1, 2, 3, 4 and 5 from the recurrence relation of the Poisson distributio..

Introduction - Arrangement and selection of objects are the central ideas of this chapter on permutations and combinations. They are widely applied in solving problems of probability, genetic engineering and life science..

Two major applications of probability theory in everyday life are in risk assessment and in trade on commodity markets. Governments typically apply probabilistic methods in environmental regulation where it is called "pathway analysis". Example: In a housing colony 70% of th..

If we put r = n in the above formula, the..

Question and Answers 2 Question and Answers 2.1 Question and Answers 2.2 Question and Answers 2...

5 cards are drawn successively with replacement from well shuffled deck of 52 cards. What is the probability that i) all the five cards are spades ii) only 3 cards are spades iii) none is a spa..

Two random experiments are said to be independent if for every pair of events E and F, where E is associated with the first experiment and F is associated with the second experiment, the probability of simultaneous occurrence of E and F, when the two experiments are performed, is the pro..

1. If x is a discrete random variable assuming the values x 1 , x 2 , x 3 ,.,x n with probabilities p 1 , p 2 , p 3 ,., p n respectively then (x 1 ,p 1 ), (x 2 , p 2 ),(x n , p n ) defines a probability distribution of X. 2. Let n independent bernoulli trials be pe..

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". Conside..

a) The probability of drawing a white ball in the first draw is . Since the ball is replaced, the probability of getting white ball in the second draw is also . b) The probability of drawing a white ball in the first draw is . If the first ball drawn is white and..