Bernoulli trial:
A random experiment which has only two outcomes (success or failure) Let n independent bernoulli trials be performed and X denote the number of successes in n trials then X follows a binomial distribution. The probability of success be p, The probability of failure = 1- p..
A random experiment which has only two outcomes (success or failure) Let n independent bernoulli trials be performed and X denote the number of successes in n trials then X follows a binomial distribution. The probability of success be p, The probability of failure = 1- p..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..
Introduction
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..
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..Activity zone Animation
Probability - I..
Probability - I..Example:
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 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..Step 6:
Apply the formula ..
Apply the formula ..Step 2:
Calculate the squares of these deviations and then apply the formula wher..
Calculate the squares of these deviations and then apply the formula wher..Remark 7:
So far, we have assumed that the elementary events are equally likely and we have used the corresponding definition of probability. However the same definition of conditional probability can also be used when the elementary events are not equally likely. This will be clear from..
So far, we have assumed that the elementary events are equally likely and we have used the corresponding definition of probability. However the same definition of conditional probability can also be used when the elementary events are not equally likely. This will be clear from..Question 28
Question: The marks of a student in 10 tests are given below: If 60% and above is I class, what is the probability that the student gets I class in any test? Answer: Total number of tests = 10 Number of tests in which the student gets I class = 6 Probability o..
Question: The marks of a student in 10 tests are given below: If 60% and above is I class, what is the probability that the student gets I class in any test? Answer: Total number of tests = 10 Number of tests in which the student gets I class = 6 Probability o..Poisson Distribution as a Limiting Form of the Binomial Distribution
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..
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..See what our Users say :
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