Consider the two dependent discrete random variables X and Y .
The
variable X takes values in...
90.2K
Verified Solution
Link Copied!
Question
Statistics
Consider the two dependent discrete random variables X and Y .The variable X takes values in {−1, 1} while Y takes values in {1, 2,3}. We observe that
P(Y =1|X=−1)=1/6 P(Y =2|X=−1)=1/2 P(Y =1|X=1)=1/2 P(Y =2|X=1)=1/4 P(X = 1) = 2/ 5 (a) Find the marginal probability mass function (pmf) of Y . (b) Sketch the cumulative distribution function (cdf) of Y . (c) Compute the expected value E(Y ) of Y . (d) Compute the conditional expectation E[Y |X = 1].
Answer & Explanation
Solved by verified expert
3.9 Ratings (682 Votes)
See Answer
Get Answers to Unlimited Questions
Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!
Membership Benefits:
Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Zin AI - Your personal assistant for all your inquiries!
