A modem transmits a two dimensional signal (X,Y) given by: X = r cos(2*pi*theta/

Question

A modem transmits a two dimensional signal (X,Y) given by: X = r cos(2*pi*theta/8) and Y = r sin (2*pi*theta/8) where theta is a discrete uniform random variable taking on values {0,1,2,3,4,5,6,7}. A) Find the joint PMF of X and Y. Express the result as a table of values. B) Find the marginal PMF's of X and Y. C) Find the following probabilities: P[X=0], P[Y<= r/(sqrt(2))], P[X>= r/(sqrt(2)) , Y>= r/(sqrt(2))], P[X< -r/(sqrt(2))] D) Determine if X and Y are independent. E) Repeat part (d) if the probability of the even values of theta are twice the odd values.

Explanation / Answer

http://courses.ee.nd.edu/30363/documents/Lecture_28_Slides.pdf

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.