For the following probability distribution

Click For Summary
SUMMARY

The discussion focuses on calculating the conditional distribution of the random variable X given Y=2 from a specified joint probability distribution. The joint distribution is provided in a tabular format, with probabilities assigned to each combination of X and Y values. To find the conditional distribution, the formula f(x|2) = f(x,2) / h(2) is utilized, where f(x,2) represents the joint probabilities for X and Y=2, and h(2) is the marginal probability of Y=2. Participants emphasize the importance of extracting f(x,2) from the joint distribution to proceed with the calculation.

PREREQUISITES
  • Understanding of joint probability distributions
  • Knowledge of conditional probability concepts
  • Familiarity with probability notation and terminology
  • Ability to interpret probability tables
NEXT STEPS
  • Study how to derive marginal probabilities from joint distributions
  • Learn about conditional probability formulas and their applications
  • Explore examples of conditional distributions in probability theory
  • Review the properties of discrete random variables
USEFUL FOR

Students in statistics, data analysts, and anyone studying probability theory who seeks to understand conditional distributions and joint probability calculations.

TomJerry
Messages
49
Reaction score
0
Question :
For the following probability distribution
X | -1 | 0 | 1 |
Y |
0 | 1/15 |2/15|1/15|
1 | 3/15 |2/15|1/15|
2 | 2/15 |1/15|1/15|

Find
i )The conditional distribution of X given Y=2

Solution

f(x|2) = f(x,2) / h(2)

How do i go about this without knowing f(x,2)
 
Physics news on Phys.org
You have the joint distribution of the two variables so you can obtain f(x,2).
 

Similar threads

Undergrad Distribution of a sample random variable
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad Calculating the inverse of a function involving the error function
  • · Replies 3 ·
Replies
3
Views
2K
Graduate How to transform a probability density function?
  • · Replies 4 ·
Replies
4
Views
2K
Graduate The distribution that has a certain distribution as its limit case
  • · Replies 7 ·
Replies
7
Views
2K
High School How to handle probabilities of the number of trials in a Binomial distribution
  • · Replies 17 ·
Replies
17
Views
2K
Undergrad Does the generalized gamma distribution have a mgf?
  • · Replies 1 ·
Replies
1
Views
3K
MHB Expected number of sold books and profit
  • · Replies 5 ·
Replies
5
Views
2K
High School Continuous uniform distribution - expected values
  • · Replies 3 ·
Replies
3
Views
2K
MHB Win a $10 or $5 Prize in Tom's 4/19 Lottery Fundraiser
  • · Replies 1 ·
Replies
1
Views
3K
Undergrad How to implement proper error estimation using MC
  • · Replies 3 ·
Replies
3
Views
3K