probability i summary

Summary - Let A and B be two events. Then, where S is the sample space. Note that simple events of a sample space are always mutually exclusive. Sample space: Set of all possible outcomes of a random experiment. Event : An event of a random experiment is defined as a subset of the sample ..

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 pe..

In a simple bar graph, the height of each bar represents the frequency. The thickness has no significance. All bars to have the same thickness. We use double bar graph when we want to compare two things. In the pie chart, In the frequency polygon, the frequency is plotted against the m..

The Arithmetic mean is obtained by dividing the sum of all the items in the list by the total number of items. Direct method M = Where x is mid-interval f is frequency M is mean Short cut method where A = assumed mean d = x - A Step deviation method Where i = class siz..

The fundamental principle of counting (F.P.C) states that if an operation can be performed in m different ways and if for each such choice, another operation can be performed in n different ways, then both operations, in succession can be performed in exactly mn different ways. The principle can ..

1. Sample space: Set of all possible outcomes of a random experiment. 2. Event : An event of a random experiment is defined as a subset of the sample space. 3. Exhaustive outcomes: All the outcomes of a random experiment. 4. Random variable: A real valued function 'X' define..

Two types of graphical representation of data are the histogram and the ogive. A histogram is a diagram which represents the class interval and frequency in the form of a rectangle. When the class intervals are unequal, each rectangle is constructed with the class interval as the base and t..

The mean deviation (M.D) of a statistical data is defined as the arithmetic mean of the numerical values of the deviations of the items from some average. For an individual series, For a frequency distribution, If M.D is calculated about mean, then it is written as M.D (x). ..

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 class. Inclusi..

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..