How to Analyze Joint Probability Density of Y1 and Y2?

  • Context: Graduate 
  • Thread starter Thread starter Lucy77
  • Start date Start date
  • Tags Tags
    Joint Probability
Click For Summary
SUMMARY

The discussion focuses on analyzing the joint probability density of two random variables, Y1 and Y2, using a provided probability table. Key calculations include determining P(Y1=0), P(Y2=1 | Y1=1), and P(Y2=1), as well as checking the independence of Y1 and Y2 and evaluating the correlation coefficient r. The participants emphasize the importance of applying the correct formulas for these calculations, suggesting that users should familiarize themselves with the relevant mathematical concepts.

PREREQUISITES
  • Understanding of joint probability density functions
  • Familiarity with conditional probability
  • Knowledge of correlation coefficients
  • Ability to apply probability formulas
NEXT STEPS
  • Study the concept of joint probability distributions in detail
  • Learn how to calculate conditional probabilities using Bayes' theorem
  • Research methods for evaluating correlation coefficients in statistics
  • Explore independence of random variables and its implications in probability theory
USEFUL FOR

Students in statistics, data analysts, and anyone interested in understanding joint probability and its applications in real-world scenarios.

Lucy77
Messages
10
Reaction score
0
If the values of the joint probability density of Y1 and Y2 are as shown:

0 1 2 total

0 1/12 1/6 1/24 35/120
1 1/4 1/4 1/40 63/120
2 1/8 1/20 ... 21/120
3 1/120 ... ... 1/20
ttl 56/120 56/120 8/120 1

whew ;-)

ok Find

a) P (Y1=0)
b) P(Y2=1 | Y1=1)
c P(Y2=1)
e Check if Y1 and Y2 are independent or dependent
f Evaluate the correlation coefficient r of y1 and y2

Thanks so much
 
Physics news on Phys.org
erm, evidently you just want us to do your homework not explain any maths. there's a homework section for that. my advice? use the formula
 

Similar threads

  • · Replies 5 ·
Replies
5
Views
920
  • · Replies 2 ·
Replies
2
Views
2K
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
11K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 3 ·
Replies
3
Views
4K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K