independent variables

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. The bin..

Let u and v be two differentiable function of a single independent variable x. Integrating w.r.t x on both sides Let u = f(x), Then \ (1) can be written ..

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 distribut..

State variables and functions may posses either extensive or intensive properties. Extensive properties are those, whose values depend on the quantity of matter contained in any system or size of the system. Typical properties are mass, volume, area, energy, number of moles, enthalpy, en..

Remember : Atoms with variable valencies have their symbols same but are named differently. Example 1: Copper (Cu) has a variable valency of 1 and 2. It is shown as Cu + and Cu + + . Cu + is read as Cuprous and Cu + + is read as Cupric. Example 2: Ferrous (Fe + + ) and ..

-values; one and two-sided tests; concepts of Type I and Type II errors; concept of power Large sample test for a proportion Large sample test for a difference between two proportions Test for a mean Test for a difference between two means (unpaired and paired) Chi-square test for goodness of fit, ..

It is the modern theory on organic evolution. It is a synthesis of the ideas from the theory of natural selection and the mutation theory. The theory is the outcome of the thinking of recent biologists such as Huxley, Haldane and Dobzhansky. Neo-darwinism is based on three principles namely; genot..

The important characteristics of entropy are summed up below: 1) Entropy is an extensive property. Its value depends upon the amount of the substance present in the system. 2) Entropy of a system is a state function. It depends upon the state variables (T, P, V, n). Thus, the change in e..