probability formula

In the previous section, we have learnt that i) If A and B are two mutually exclusive events, then ii) Before we state and prove Baye's Theorem, we use the above two rules to state the law of total probability. The law of total probability is useful in proving Baye's theorem and..

Baye's Theorem - In the previous section, we have learnt that i) If A and B are two mutually exclusive events, then ii) Before we state and prove Baye's Theorem, we use the above two rules to state the law of total probability. The law of total probability is useful in proving B..

From our earlier chapter we know that, in statistical experiments, if the events A and B are independent, then But 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 probabili..

In the discrete series, when deviations are taken from actual mean, the formula ..

Calculation of Standard Deviation for discrete series - In the discrete series, when deviations are taken from actual mean, the formula ..

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..

Let S is the sample space which is the population of adults in a small town who have completed the requirement for a college degree. The population is categorized according to sex and employment status as follows \ One of these individual is to be selected for a tour throughout the country. Kn..

Let A be the event of getting a card greater than 2 but less than 9. B be the event of getting a red card. We have to find the probability of A given that B has occurred. That is, we have to find P (A/B). In a deck of cards, there are 26 red cards and 26 black cards. \ n(B) = 26 Among ..

The mean deviation of a statistical data is defined as the arithmetic mean of the numerical values of the deviations of items from some average value. Mean deviation is also known as average deviation . The mean deviation is generally denoted by M.D. Formula for mean deviation for ungroup..

where l is a finite number and is equal to np. The sum of the probabilities P(X = r) or simply P(r) for r = 0, 1, 2, is 1. This can be seen by putting r = 0, 1, 2, in (4) and adding all the probabilities. Also, each of the probabilities is a non-negative fraction. This..