Joint Probability Distribution

Question 1

Bi-random variable

Answer 1

X,Y are two random variables defined on two experiments respectively.

Question 2

Joint Probability mass function (DRV)

Answer 2

If X,Y are two discrete random variables, we define joint probability mass function
f(x,y) = P(X=x, Y=y)

Question 3

Range of f(x,y)

Answer 3

[0,1]

Question 4

Property 2 of Joint Probability mass function (DRV)

Answer 4

Question 5

Marginal Probability Density function (DRV)

Answer 5

Question 6

Joint cumulative distribution function (DRV)

Answer 6

Cumulative function denoted by capital F

Question 7

Joint probability density function (CRV) and what it gives

Answer 7

Question 8

Joint cumulative probability function (CRV) and also another name

Answer 8

Question 9

Marginal density function (CRV)

Answer 9

Question 10

Marginal Distribution function (CRV)

Answer 10

Question 11

When we can say X,Y (two jointly distributed random variable) are independent

Question 12

Joint Conditional Probability Distribution Function

Question 13

Joint conditional probability density function