# Statistics, Probability, OR equation

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In summary, statistics is the study of numerical data while probability is the measure of event likelihood. Probability has many real-life applications, including predicting outcomes and risk assessment. In statistics, an OR equation connects conditions with the word "or" and at least one must be true for the statement to be true. Theoretical probability is based on math while experimental probability is based on actual data. In probability, OR is represented by "+" and is used to calculate the likelihood of at least one event occurring. It is used when both events cannot occur simultaneously.
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## Homework Statement

An appliance store purchases electric ranges from two companies. From company A, 600 ranges are purchased, and 5% are found to be defective. From company B, 300 ranges are purchased, and 8% are found to be defective. Given that a range is defective, find the probability that it came from company A.

## Homework Equations

(work shown below) use "OR" equation

## The Attempt at a Solution

(600)(.5) - (300)(.8) = 60

use bayes theorem

## What is the difference between statistics and probability?

Statistics is the study of collecting, organizing, analyzing, and interpreting numerical data. Probability is the measure of the likelihood of an event occurring.

## How is probability used in real life?

Probability is used in many practical applications, such as predicting the outcome of games, weather forecasting, and risk assessment in finance and insurance.

## What is an OR equation in statistics?

An OR equation, or inclusive "or" equation, is a logical statement that connects two or more conditions with the word "or." It means that at least one of the conditions must be true for the overall statement to be true.

## What is the difference between theoretical and experimental probability?

Theoretical probability is based on mathematical calculations and assumes that all outcomes are equally likely. Experimental probability is based on actual data from experiments or observations.

## How is OR used in probability?

In probability, OR is represented by the "+" symbol and is used to calculate the probability of at least one of two events occurring. It is used in situations where both events cannot occur at the same time.

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