distributions functions

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 fai..

>There are many daily life situations where n is very large and p is very small. In such situations, the Poisson distribution can be more conveniently used as an approximation to binomial distriburtion which may prove cumbersome for large values of n. This is called Poisson approximation ..

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. of heads (x) : 2 1 ..

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, which can assume the v..

Let S be a sample space associated with a given random experiment. A real valued function X which assigns to each w i S, a unique real number, X( w i ) = x i is called a random variable . Two types of random variables are 1. Continuous random variable, 2. discrete ra..

It transports oxygen to all the parts of the body. It collects carbon dioxide from the cells and transports it to the respiratory organs. It distributes the digested food to all the regions of the body. It collects metabolic waste products from the cells and transports them to ..

On the annual day function of a school, 200 chocolates were brought to be distributed among the students of 6 th , 7 th , 8 th and 9 th grades. The frequency table shows the number of chocolates that were distributed among the students of different grades. How many cho..

The functions performed by the circulatory system in all animals are 1) Transport of nutrients like glucose, amino acids, vitamins, minerals 2) Transport of oxygen from the organs of respiration to the body cells. 3) Transport of carbon dioxide from the body cells to the exterior. 4) Tran..

In this chapter we have studied the method of evaluating probabilities of events relating to independent events and conditional events. We have also studied about random variables and their probability distributions, namely binomial distribution and Poisson distribution..

Water is an indispensable commodity of life. Water determines the distribution, structure and function of organisms in the ecosyste..