normal distribution in statistics

Although the probability distribution of a continuous r.v cannot be presented in tabular forms, we can have a formula in the form of a function represented by f(x) usually called the probability density functio..

A random experiment which has only two outcomes (success or failure) Let n independent bernoulli trials be performed and X denote the number of successes in n trials then X follows a binomial distribution. The probability of success be p, The probability of failure = 1- p = q The ..

Merits: - Mean deviation is easy to calculate. This measure is simple to understand. This can be calculated from any average. Its value is based upon all the (observations) items of the data. It is less affected by extreme observations. It gives us an idea about how the items are situated in the ..

Introduction - The scientific methods of collection of data, its classification and application to commerce and everyday life is called statistics. A list of some important terms as follows: (i) ungrouped data (ii) tabulation of data (iii) range (iv) frequency (v) frequency distribut..

In a frequency distribution, the mid-value of each class is obtained. Then on the graph paper, the frequency is plotted against the corresponding mid-value. These points are joined by straight lines. These straight lines may be extended in both directions to meet the X - axis to for..

A random variable X has a Poisson distribution with parameter l such that P (X = 1) = (0.2) P (X = 2). Find P (X = 0..

Calculate the mean deviation from the mean for the following frequency distribution..

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 performed an..

1. The Arithmetic mean is obtained by dividing the sum of all the items in the list by the total number of items. 2. There are three methods to find mean for a frequency distribution. (i) Direct method, (ii) Short-cut method, (iii) Step-deviation method...

1. Inclusive type of frequency distribution can be converted into exclusive type by extending the class limits by 0.5. 2. Class width is the difference between the actual limits of any class. 3. Class mark is the mid point of each interval...