5 Joint Probability Distribution

Question 1

Joint Probability Properties for Discrete Variables

Answer 1

Question 2

Joint Probability Properties for Discrete Variables Ex

Answer 2

Question 3

Joint Probability Properties for Discrete Variables Ex2

Answer 3

Question 4

Joint Probability Properties for Discrete Variables Ex3

Answer 4

Question 5

Joint Probability For Continuous Random Variable Properties

Answer 5

Question 6

Joint Probability For Continuous Random Variable ex1

Answer 6

Question 7

Marginal Distribution For Joint Probability For Continuous Random Variable Properties

Answer 7

Question 8

Marginal Distribution For Joint Probability For Continuous Random Variable ex1

Answer 8

Question 9

Mean, Variance, and Independence for Continuous Joint Distribution

Answer 9

Question 10

What is Covariance?

Answer 10

covariance is a measure that tells you how two variables change together. It helps us understand whether there is a relationship between two variables and how they tend to move in relation to each other.

Question 11

What is the correlation

Answer 11

Question 12

What is Chebyshev’s Inequality

Answer 12

Chebyshev’s Inequality, in layman’s terms, is a principle that gives us a way to understand how spread out data is, even if we don’t know much about its specific distribution.

Basically, Chebyshev’s Inequality states that for any set of data, regardless of its shape or characteristics, at least a certain proportion of the data values must fall within a certain distance from the mean.

Question 13

Chebyshev’s Inequality ex1

Answer 13