How Do You Compute E(f(x)) for Uniformly Distributed Variables?

  • Thread starter Thread starter tuanle007
  • Start date Start date
  • Tags Tags
    Stuck
tuanle007
Messages
35
Reaction score
0
Untitled.jpg


can someone please help me with this question. i don't know how to do this.
 
Physics news on Phys.org
To get E(f(x)) where x is uniformly distributed between 0 and A, you simply compute:
1/A integral from 0 to A of f(x). In your case A=pi and x=theta. This will give you the answers you need for (a).
The answer to (b) depends on the answer to the middle expectation. It will be a function of k and m. It is wide sense stationary if it is a function only of k-m, and not of them individuallly.
 

Thread 'Here's a Statistics problem for game of Polo (or Hockey if you like)'

Namaste & G'day Postulate: A strongly-knit team wins on average over a less knit one Fundamentals: - Two teams face off with 4 players each - A polo team consists of players that each have assigned to them a measure of their ability (called a "Handicap" - 10 is highest, -2 lowest) I attempted to measure close-knitness of a team in terms of standard deviation (SD) of handicaps of the players. Failure: It turns out that, more often than, a team with a higher SD wins. In my language, that...
View full post »

Thread 'Roulette wheel physics and probability'

Hi all, I've been a roulette player for more than 10 years (although I took time off here and there) and it's only now that I'm trying to understand the physics of the game. Basically my strategy in roulette is to divide the wheel roughly into two halves (let's call them A and B). My theory is that in roulette there will invariably be variance. In other words, if A comes up 5 times in a row, B will be due to come up soon. However I have been proven wrong many times, and I have seen some...
View full post »

Similar threads

I Failure rate for a uniformly distributed variable
Replies
3
Views
2K
A How Is the CDF Expressed for a Uniform Distribution on a Circle?
Replies
8
Views
2K
I How to Express Non-regular Prior Distributions by Mathematical Formula
Replies
2
Views
2K
I How to show these random variables are independent?
Replies
1
Views
2K
I Probability of White Ball in Box of 120 Balls: Solved!
Replies
3
Views
3K
I Relating Moments from one Distribution to the Moments of Another
Replies
7
Views
2K
B Continuous uniform distribution - expected values
Replies
3
Views
1K
MHB Distribution and Density functions of maximum of random variables
Replies
6
Views
4K
I Probability paradox: P(X=x)=1/n >1
Replies
5
Views
3K
I Computing the expectation of the minimum difference between the 0th i.i.d.r.v. and ith i.i.d.r.v.s where 1 ≤ i ≤ n
Replies
0
Views
2K

Hot Threads

Recent Insights

Back
Top