ECE 302 Lecture 5.4 Conditional PMF and PDF

Purdue University --- Introduction to Probability for Data Science

Instructor: Prof. Stanley Chan

[bimblebom]

Typo at 15:07, f(x|y) is exp^-(x-y) not exp^(-(x+y)

[abjrcode]

Hi professor
Sorry for my, probably, stupid question: isn't the coin problem ill-defined or ill-stated?
The problem says: What is the probability that the sum (X = 1) given the first coin (Y = 1), but then when calculating the conditional probability we take into account both (1, 0) and (0, 1) as if the order of the coins doesn't matter?
Shouldn't the problem statement be: "What is the probability of the sum (X = 1) given that only one of the coins is 1?
In the way the problem is phrased now, I feel that P(X | Y) should be [0, 1/2, 1/2]
Thank you

[HàTrọngPhú-bl]

In example 5.18, I think P[X>2] should be 10/20 instead of 11/20.

[phoexx]

on slide 4, shouldn't the px(x) = [3/20, 7/20, 7/20, 3/20] ?

[sheikhshakeel]

Aren't you summing over x so it should be marginal probability of y in slide 4 rather than x