discrete variable


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Cramer's rule for the solution of a system of equations in 2 variables
We recall from our earlier classes that a system of linear equation with two variables is given by This system of linear equation may have either one solution or infinitely many solutions or no solutio..
Conclusion
We have seen the application of matrices and determinants in solving system of linear equation with three unknown variables. Matrices and determinants are also widely used in solving large system of linear equation. Some of these methods are Gauss-elimination method, Gauss-Jordan method e..
Consistency of a system of linear equation
The above discussion leads to find the solution of a system of linear equations in two variables by using Cramer's rule. Cramer's rule suggests the use of determinants to solve a system of linear equations. Let us denote a 1 b 2 - a 2 b 1 (Denominators of x and y in (4) and (5)) as the de..
Discrete Variables
A discrete variable can assume only integral values which can be counted. Number of pupils in a school, persons working in a factory are examples of discrete variables. A list of some important terms is given below. (i) ungrouped data (ii) tabulation of data..
Mean and Variance of a Discrete Random Variable
Let X be a discrete random variable which can assume values x 1 , x 2 , x 3 ,x n with probabilities p 1 , p 2 , p 3 .. p n respectively then (a) Mean of X or expectation of X denoted by E(X) or m is given by (b) Variance of X denoted by s 2 is given ..
State whether the variables are discrete or continuous.(i). Speed of a..
State whether the variables are discrete or continuous. (i). Speed of a car. (ii). Weight of an elephant. => (i) continuous, (ii) continuous or (i) discrete, (ii) continuous or (i) continuous, (ii) discrete or (i) discrete, (ii) discrete o..
State whether the variable is discrete or continuous:(i). Number of pe..
State whether the variable is discrete or continuous: (i). Number of persons watching a movie in a theatre. (ii). Wind speed at the air port. => (i) continuous, (ii) continuous or (i) continuous, (ii) discrete or (i) discrete, (ii) continuous or (i) disc..
Discrete probability distribution
A discrete random variable assumes each of its values with a certain probability. Let X be a discrete random variable which takes values x 1 , x 2 , x 3 ,x n where p i = P{X = x i } Then X : x 1 x 2 x 3 x n P(X) : p 1 p 2 p 3 p n is called the proba..
Variable
Quantities such as height, weight, age, amount can have several different values. Quantities which can assume different numerical values are called variables. Variables are of two types: (a) Continuous (b) Discrete..
Select each variable as discrete (D) or continuous (C).I. The number o..
Select each variable as discrete (D) or continuous (C). I. The number of burglaries reported each month in a city. II. The number of business units a person has. III. The number of workers in a factory. IV. The amount of calcium contained in a glass of milk. => I - C, II - C, II..
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