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 ..

Summary - P {Occurrence of A given that B has occurred} = P (A|..

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..

: All the outcomes of a random experiment. Probability of an event: P(A) P(A C ) = Probability of the non-occurrence of A = 1- P(A) Addition Theorem: If A and B are any two events of a random If A, B, C are there events of a random experiment th..

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..

1. 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. 2. We use double bar graph when we want to compare two things. 3. In the frequency polygon, the frequency is plotted against the mid v..

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..

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...

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 ..

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 ..