independent distributions

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..

The basic assumption(s) for estimating the difference between two variances is/are: I. The samples must be dependent on each other. II. The samples must be independent of each other. III. The populations from which the samples were obtained must be normally distributed. IV. The ..

Which of the following are the assumptions for two-way ANOVA? I. All samples are drawn from normally distributed populations. II. All populations have a common variance. III. The groups must be equal in sample size. IV. Within each group, the observations were sampled randomly and in..

Each respondent in the survey is classified as Employed, Unemployed, or outside the labor force. The results for men can be cross tabulated by marital status as shown: Married Widowed or separated Never married Total Employed 550 115 135 800 Unemployed 60 10 20 90 Not in labor force 40 25 45 110 To..

Module Three: Anticipating Patterns - Probability: Interpreting probability, including long-run relative frequency interpretation 'Law of Large Numbers' concept Addition rule, multiplication rule, conditional probability, and independence Discrete random variables and their probability di..

Conclusion - 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 Poisso..

With the rediscovery of Mendelism, several scientists focussed on identifying the basis for inheritance. William Sutton recognised a close parallelism between the transmission of 'factors' identified by Mendel and the behaviour of chromosomes during meiosis and fertilization. These ideas can be sum..

We have seen in the previous lesson that a current carrying conductor when kept in a magnetic field experiences forces and torques. Is reverse phenomenon possible? If we rotate the coil in a magnetic field, will current flow in the coil without we passing it? The answer is yes. Current can be induc..

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..

We have already learnt to find the electric field intensity due to a charged conductor using Coulomb's law. Gauss' theorem can also be used to calculate the electric field intensity provided there is a symmetry in the charge distribution. Can be considered as an alternative to Coulomb's l..