normal distribution in statistics

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 frequency distribution table gives the marks obtained by 40 students: Table (a) The fr..

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 probability distributi..

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 variable, 2. discrete random varia..

We have P(X = x + 1) = n C x + 1 p x + 1 q n - x - 1 ..

Cumulative frequency is obtained by adding the frequency of a class interval and the frequencies of the preceding intervals upto that class interva..

Let X be continuous random variable which can assume values in the interval [a,b]. A function f(x) on [a,b] is called the probability density function if ..

Summary - There are two types of frequency distribution. (a) Inclusive (b) Exclusive In the inclusive type, the upper limit of one class does not coincide with the lower limit of the next class. In the exclusive type, the upper limit of one class coincides with the lower limit of the next..

If the mean and variance of a binomial distribution are respectively 9 and 6, find the distribution..

n and p are called the parameters of the binomial distribution..

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 dist..