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Statistics and Probability | Introduction

is the science of collecting, organizing, presenting, analyzing, and interpreting data

statistics

primarily a theoretical branch of mathematics which studies the consequences

probability

is the activity in which the results cannot be predicted with certainty

experiment

is a result in an experiment

outcome

is any collection of outcomes

event

a given experiment is a set that contains all possible outcomes of the experiment

sample space

is a tool that helps calculate the number of possible outcomes of an event or problem

tree diagram

is a result of chance event, that you can measure or count

random variable

it has countable (finite) number of possible values

discrete random variable

it has assumes an infinite number of values in one or more intervals

continuous random variable

consists of the values a random variable can assume and the corresponding probabilities

discrete probability distribution

the mean (μ) of a discrete random variable is the central value or average of its corresponding probability mass function. it is also called as the expected value

mean of a discrete random variable

the variance and standard deviation are two values that describe how scattered or spread out the scores are from the mean value of the random variable

variance and standard deviation of a discrete random variable

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