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Probability of a Sample Point

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Individually, each outcome represents a sample point in the sample space. What is the probability of each sample point? The sum of probabilities of all the sample points must equal 1. And the probability of getting a head is equal to the probability of getting a tail.

If we toss a fair die, what is the probability of each sample point? For this experiment, the sample space consists of six sample points: Each sample point has equal probability. And the sum of probabilities of all the sample points must equal 1. The probability of an event is a measure of the likelihood that the event will occur. By convention, statisticians have agreed on the following rules. Thus, if event A were very unlikely to occur, then P A would be close to 0.

And if event A were very likely to occur, then P A would be close to 1. Example 1 Suppose we draw a card from a deck of playing cards. Probability is the study of chance and is a very fundamental subject that we apply in everyday living, while statistics is more concerned with how we handle data using different analysis techniques and collection methods. Still need help after using our statistics resources? Use our service to find a statistics tutor.

This section deals with introducing the concept of statistics and its relevance to everyday life. Statistical averages are introduced and defined in this section. Mean, median, mode and range are discussed both at an introductory level and also at a more advanced level, like the concept of Assumed mean.

Frequency and its aspects like Cumulative Frequency are also discussed. This section serves as an introduction to the concept of Probability, including definitions of the different terminology and the fundamental method of calculating Probability.

Different concepts like Dependence and Independence of Events are discussed including the methods of dealing with such concepts. This section sets the stage for a more advanced view of Probability by introducing the idea of Random Variable and the meaning and types of probability distributions including Discrete and Continous Probability Distributions.

Joint Probability Distributions are also discussed.

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Learn high school statistics for free—scatterplots, two-way tables, normal distributions, binomial probability, and more. Full curriculum of exercises and videos. Statistics and probability are sections of mathematics that deal with data collection and analysis. Probability is the study of chance and is a very fundamental subject that we apply in everyday living, while statistics is more concerned with how we handle data using different analysis techniques and collection methods.

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