Recent content by ashah99

For part (c) I think you are right, I think I mixed it up with the one output per second output from the rain gauge. So, I believe the final answer should be ##Bernoulli(e^{-3})##. So, for part (d), you think it is NegBin, but I'm not not sure what the p and k parameters should be (see notes...

Sorry, I meant parameters (i.e. the lambda in Poisson(3) ). I'm quite sure of my answers for parts a and b but the rest is making me confused. Would you be willing to check and guide through mistakes?

I’m quite thrown off with how the rain gauge outputting a random sequence at a rate of one every second comes into play in this problem, especially when specifying the partners for the RVs.

Interesting, I edited my posted, hope it shows up

Hello. I would like to kindly request some help with a multi-part problem on identifying random processes as an intro topic from my stats course. I’m fairly uncertain with this topic so I suspect my attempt is mostly incorrect, especially when specifying the parameters, and I would be grateful...

Hello all, I am wondering if my approach is correct for the following problem on MSE estimation/linear prediction on a zero-mean random variable. My final answer would be c1 = 1, c2 = 0, and c3 = 1. If my approach is incorrect, I certainly appreciate some guidance on the problem. Thank you...

Thank you for your help. I realize the mistakes now. I had the formula wrong originally by using the mean of y in stead of mean of x hence had the extra factor of +2. So yes the answer now makes sense: when y=7, then x=5 which is expected.

The parameters I used were ##µ_X = 5, µ_Y = 7, σ_X = √5, σ_Y = √7, and ρ = √(5/7) ## Using the formula above, I get ##E(X | Y = y) =µ_X +ρσ_X( (Y-µ_Y ) / √7) = 5 + √(5/7)√5 ( (y-7 ) /√7) ## and then ## E(X | Y = y) = y - 2 ## but that turns out to be incorrect.

Hmm that would be problematic resulting in the expectation being negative. Do you a better approach?

Good point on part (iii) with the units. Hmm I would note down both for my studies Part (c) is an error on my part due to copy/pasting. You are correct in that formula could contain a ##y## I believe the formula should also say ##u_x## so if I make those corrections, I get a final answer of...

My mistake on (i) X is either non-zero or it isn't. It's non-zero with probability p=1-e^(-5) Thus it's Bernoulli with parameter p -> X is Bern( 1-e^(-5) ) should be the correct answer I hope (ii) Z is the number of events in [5,7], since X and Y overlap by 5 us, so Z is Poisson(2)

Hello all, sorry for the large wall of text but I'm really trying to understanding a problem from a study guide. I am quite unsure on how to approach the following multi-part problem. Any help would be appreciated. Problem: Useful references I'm using to attempt the problem My attempt: For...

Hello all, I have a random sequences question and I am mostly struggling with the last part (e) with deriving the marginal pdf. Any help would be greatly appreciated. My attempt for the other parts a - d is also below, and it would nice if I can get the answers checked to ensure I'm...

Hi, I am really struggling with the following problem on the Fourier sine and cosine transforms of the Heaviside unit step function. The definitions I have been using are provided below. I tried each part of the problem, but I'm only left in terms of limits as x -> infinity of sin or cos...

Hello, I would like to confirm my answers to the following random variables question. Would anyone be willing to provide feedback and see if I'm on the right track? Thank you in advance. My attempt: