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Introduction to Combinatorics and Probability

Independent Vs Dependent - Example 1

In statistics, dependence or association is any statistical relationship, whether causal or not, between two random variables or bivariate data. Familiar examples of dependent phenomena include the correlation between the physical statures of parents and their offspring, and the correlation between the demand for a product and its price. Many pairs of random variables are correlated, but in the absence of a causal relationship, this correlation is due to chance. For example, a study of the heights of parents and their children might show that pairs of individuals have a correlation of 0.7 for height, meaning that if the parent is 70 inches tall, the child is also on average 70 inches tall. This does not imply that parental height caused the child's height; both are usually caused by a common factor.

Lily An

Independent Vs Dependent - Overview

Independent Vs Dependent - Example 1

Independent Vs Dependent - Example 2

Independent Vs Dependent - Example 3

Independent Vs Dependent - Example 4

Independent Vs Dependent - Example 5

Mutually Exclusive - Overview

Mutually Exclusive - Example 1

Mutually Exclusive - Example 2

Mutually Exclusive - Example 3

Mutually Exclusive - Example 4

Mutually Exclusive - Example 5

Probability With Combinations - Overview

Probability With Combinations - Example 1

Probability With Combinations - Example 2

Probability With Combinations - Example 3