Need help with integrals (Urgent!)
Let X and Y be two random variables with joint density function
1. Check that f is a joint probability density function.
2. Calculate the following probabilities:
(a) P(X ≥ 1/2 )
(b) P(X ≤ 1/2,Y ≤ 1/2).
3. Determine the marginal density of X and that of Y.
4. Determine the conditional densities of X and Y.
5. Calculate the conditional expectations of X and Y.
16
Answer
Answers can only be viewed under the following conditions:
- The questioner was satisfied with and accepted the answer, or
- The answer was evaluated as being 100% correct by the judge.
2 Attachments
2.1K
The answer is accepted.
Join Matchmaticians Affiliate Marketing
Program to earn up to a 50% commission on every question that your affiliated users ask or answer.
- answered
- 1036 views
- $20.00
Related Questions
- How to recalculate 2D polygon side lengths when tilt is applied in 3D space?
- Calculus Questions - Domains; Limits; Derivatives; Integrals
- Dice expected value question
- Two calculus questions
- Evaluate $\int \ln(\sqrt{x+1}+\sqrt{x}) dx$
- Compute $\lim\limits_{x \rightarrow 0} \frac{1-\frac{1}{2}x^2-\cos(\frac{x}{1-x^2})}{x^4}$
- Car accidents and the Poisson distribution
- Find $n$ such that $\lim _{x \rightarrow \infty} \frac{1}{x} \ln (\frac{e^{x}+e^{2x}+\dots e^{nx}}{n})=9$
What is the formula for f?
I uploaded the file. Thank you !
Is it possible to make a step by step solution so k can understand the solving process
Kav10, I have made a mistake setting the deadline. The deadline is actually in 10h hours. Is it still possible for you ?
Let me see what I can do. I am out and will be home in ~5 hours. Can you please give me an exact deadline? Like is it 7 am Eastern Time?
10-11AM Eastern Time
OK. I’ll try to send late tonight!