Statistical methods to make inferences

Hello students,Previously we have discussed about how to do trigonometry step by step and today we are going to discuss the statistical methods to make inferences which comes under 12 gujarat board syllabus. As we know that statistics is concept by which we organize our data and display that data and this process includes complete process of the data analysis and this process starts from inspecting data to modeling data, it also covers cleaning data as well as transforming data.

Statistical methods to make inferences is a process, that uses the organized information so that it can obtain and make a final decision or conclusion and all the process is done when our system get affected by random variation and due to this some type of datasets is arises and conclusion made from obtained datasets. Statistical inferences are also known as the statistical induction and inferential statistics. Sometimes the result or final outcome of Statistical inferences can be a answer for the next questions.

Methods of statistics are also the basis of statistics type mathematics. They provide the primary research papers, various types of proofs and theorems so that we can complete our research. Descriptive and probability distribution are also assumes the methods of statistics. Lets take an example that will show the use of statistical inferences.

Example: - A card is taken from a shuffled pack of cards and the total trails are 300.

Suit Spades Clubs Hearts Diamond

No. of times drawn 70 50 100 80

Solution: - Find the probability of To got Hearts cards and Except Diamond card

-Total number of events = 300

Number of trial of hearts cards = 100

P (drawn card is heart)

100/300 = 0.33

-Total number of events except diamond card is 70 + 50 + 100 = 220

P(the card is not diamond)

220/300 = 0.73

In the next session we will discuss about free online math tutoring and You can visit our website for getting information about physics homework help.

conditional probability

In mathematics, probability can be considered as a branch of mathematics. The concept of probability deals with the calculation of the likelihood occurrence of any given event. The term probability describes their value in the range between 0 and 1. In the concept of probability the value one refers to the certainty of the occurrence of any particular event. In the same aspect the value zero refers to the impossibility of occurrence of any event. The basic behind using the concept of probability in mathematics is that when the lots of situations happens and we are not able to predict the outcome of the particular event then the concept of probability is used in this case to analyze the different possibilities and how likely each of them is. (know more about cbse board papers, here)
   There are various concepts are defined that helps in understanding the probability more clearly. Form that concepts conditional probability is one of them. In the probability theory, the conditional probability is a concept which defines the conditional relationship between two occurring events. It means to say that the conditional probability of ‘X’ given ‘Y’ is the probability of X if Y is known to occur. In the mathematical notation we can represent the conditional probability as P (X / Y).  It means to say that the conditional probability of occurrence an event Y is only when the occurrences of the event ‘X’ is already done.  In probability theory the definition of conditional probability can be represented by using formula for conditional probability:
       P (X / Y) = P (X and Y) / P (Y),
In the above definition of probability we need to remember one thing that the value of the P (Y) must be greater than zero. In most of the cases the P (X / Y) can be visualized as probability of event ‘X’ when the sample space of the event ‘Y’ is restricted. In the next session we will discuss about Permutations and combinations.