Random Variables and Probability Distributions
Let S be a sample space associated with a given random experiment. A real valued function X which assigns to each w i S, a unique real number, X( w i ) = x i is called a random variable . Two types of random variables are 1. Continuous random ..
Frequency Distribution
The number which tells us how many times a particular data appears is called the frequency. For example, 2 marks have been scored by five students which means marks 2 occurs five times. Therefore, the frequency of score 2 is five. Similarly, the frequency of mark..
Frequency Distribution
A teacher gave a test to a class of 26 students. The maximum mark is 5. The marks obtained by the pupils are: Such data as above is called ungrouped (or raw) data. We may arrange the marks in ascending or descending order. The data so represented is called an array. The difference between the great..
A teacher gave a test to a class of 26 students. The maximum mark is 5. The marks obtained by the pupils are: Such data as above is called ungrouped (or raw) data. We may arrange the marks in ascending or descending order. The data so represented is called an array. The difference between the great..Continuous Variable
Consider an example. A person was asked to measure the thickness of a coin. He recorded the following readings: (i) 0.2 cm with ruler (ii) 0.23 cm with vernier (iii) 0.231 cm with micrometer The accuracy of thickness of the coin depended on the instrument used for measuring the thickness. Thus the..
Cumulative Frequency Distribution
Cumulative Frequency Distribution - Cumulative frequency is obtained by adding the frequency of a class interval and the frequencies of the preceding intervals upto that class interval. This is explained by an example below. The following frequ..
Continuous random variable
A random variable which can assume all possible values between certain limits is called a continuous random variable..
Continuous random variable:
random variables which can assume any value over an interval..
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) Discre..
Continuous Charge Distribution
Continuous Charge Distribution - We have so far dealt with discrete charges but a system of charges can be considered as a continuous distribution if the group of charges are located very close together. To find the electric field due to a continuous..
Continuous Charge Distribution
We have so far dealt with discrete charges but a system of charges can be considered as a continuous distribution if the group of charges are located very close together. To find the electric field due to a continuous charge distribution we have to defi..
Result
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