important questions in probability &statistics


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Probability of an Event
If a trial results in n-exhaustive, mutually exclusive and equally likely cases and m of them are favourable to the occurrence of an event A, then the probability of the happening of A, denoted by P(A), is given by: P(A) = m/n. Important terms are 1. Statistical or Empiri..
Probability concepts and probability theorems
Introduction - In our day to day life, we come across many uncertainty of events. We wake up in the morning and check the weather report. The statement could be 'there is 60% chance of rain today'. This statement infers that the chance of rain is more than that having a dry weather. We decide upon ..
Random Variables and Probability Distributions
Random Variables and Probability Distributions - It is often very important to allocate a numerical value to an outcome of a random experiment. For example, consider an experiment of tossing a coin twice and note the number of heads (x) obtained. Outcome HH HT TH TT No. of heads..
Random Variables and Probability Distributions
It is often very important to allocate a numerical value to an outcome of a random experiment. For example, consider an experiment of tossing a coin twice and note the number of heads (x) obtained. Outcome HH HT TH TT No. of heads (x) 2 1 1 0 x is called a random variable, which can assum..
Probability (continued) Introduction
Introduction - From our earlier chapter we know that, in statistical experiments, if the events A and B are independent, then But suppose the two events are not independent, that is the occurrence of one depends on the occurrence of other, then how do we compute This can be explained by conditional..
Statistics XI Introduction
Introduction - Man has the skill of communication by which he is able to convince others about his point of view. Today graphics, tables, reasoning, estimation and prediction are playing a very important role in stating the facts in terms of figur..
Introduction
Suppose the two events are not independent, that is the occurrence of one depends on the occurrence of other, then how do we compute This can be explained by conditional probability. Baye's theorem is named after the British mathematician Thomas Bayes who published it in a r..
Statistics XI
Today graphics, tables, reasoning, estimation and prediction are playing a very important role in stating the facts in terms of figures. Statistics deals mainly in communicating facts and figures in terms of a method called statistical method. Collection, classification, tabul..
Concept of Deviation, it's Merits and Demerits
Introduction - Today graphics, tables, reasoning, estimation and prediction are playing a very important role in stating the facts in terms of figures. Statistics deals mainly in communicating facts and figures in terms of a method called statistical method. Collection, classification, ta..
Introduction
From our earlier chapter we know that, in statistical experiments, if the events A and B are independent, then But suppose the two events are not independent, that is the occurrence of one depends on the occurrence of other, then how do we compute This can be explained by conditional probabili..
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