{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

HW9 - parameter p Given X = x the conditional probability...

This preview shows pages 1–2. Sign up to view the full content.

ECE 302, Homework #8, Due 3/25 http://www.ece.purdue.edu/ chihw/ECE302 09S.html Question 1: [Basic] Problem 5.1. (Hint: The most difficult part of this question is how the question is described. Basically, Carlos and Michael each flips a coin twice and there are totally four outcomes. Focusing on the first two outcomes, Carlos computes the number of heads and denotes it by W 1 . Focusing on the last two outcomes, Michael computes the number of heads and denotes it by W 2 . Then X = max( W 1 , W 2 ) and Y = min( W 1 , W 2 ).) Question 2: [Basic] Problem 5.3 Question 3: [Basic] Problem 5.8(a,c,d). Question 4: [Basic] Problem 5.8(f,h,i). Question 5: [Basic] Problem 5.9(b) Question 6: [Intermediate/Exam Level] Problem 5.11. Question 7: [Intermediate/Exam Level] Problem 5.12. In (a), please change the statement to “write down the original sample space S Θ and the new sample space S XY . Question 8: [Intermediate/Exam Level] Suppose X is a geometric random variable with

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: parameter p . Given X = x , the conditional probability mass function of Y , p k | X = x = P ( Y = k | X = x ), is a Poisson random variable with α = x . 1. Find the sample space of ( X,Y ). 2. What is the joint probability mass function of X and Y ? 3. What is the marginal probability mass function of X ? 4. What is the probability that P ( X 2 + Y 2 ≤ 4). Question 9: [Basic] Problem 5.25(b,c). Question 10: [Basic] Problem 5.27(a,c,d). Question 11: [Basic] Problem 5.28. Question 12: [Intermediate/Exam Level] Suppose X is a uniform random variable with parameters a = 1 ,b = 2. Given X = x , the conditional probability density function of Y , is an exponential random variable with λ = x . 1. Find the sample space of ( X,Y ). 2. What is the joint probability density function of X and Y ? 3. What is the probability that P ( X < 1 . 5 and Y ≤ 2)?...
View Full Document

{[ snackBarMessage ]}

Page1 / 2

HW9 - parameter p Given X = x the conditional probability...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online