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# Forum: Probability

Probability course and homework discussion. Probability distributions. Probability theory, stochastic processes

1. ### Sticky: We only provide homework help to those who show effort

Welcome to Talk Stats Forum. In order to keep homework help effective and efficient, we request all members to abide by these guidelines: 1)...

• Replies: 0
• Views: 30,320
09-30-2005, 09:44 AM
1. ### sum of normal distribution help

X~N(3,5) Y~N(-7,2) What is the distribution of Z=4X-Y/3 ? is it just =- Y/3 + 4X =- Y~N(-7/3,2/3) + X~N(-7/3 + 3,2/3 + 5) = X~N(-7/3 + 3,2/3...

• Replies: 2
• Views: 4,290
11-21-2010, 02:01 PM
2. ### central limit theorm help

Z1,Z2,.... are identically independently distributed with uniform distribution . How do i use the central limit theorem to estimate the the...

• Replies: 1
• Views: 2,027
BGM
11-21-2010, 01:51 PM
3. ### help with convergence of random variables

Suppose P(Yn<=y)=1-e^(-2ny/(n+1)) for all y>0. Prove that Yn converges in distribution to Y where Y has the exponential distribution for some lambda...

• Replies: 1
• Views: 2,493
BGM
11-21-2010, 01:35 PM
4. ### Help with some homework

I got the following question for homework, We know that 27% of the homes in Cleanville have a central vacuum system. We are going to randomly...

• Replies: 1
• Views: 1,602
11-20-2010, 06:53 PM
5. ### random variable convergence

Wn has density / for 0<x<1, and 0 otherwise. The random variable W has a uniform distribution on . Prove that {Wn} converges in distribution to W. ...

• Replies: 4
• Views: 3,174
11-20-2010, 03:00 PM
6. ### help with random variable convergence

P(Yn=k)= ( (1-2^(-n-1))^(-1) )/ 2^(k+1) for k=0,1,2,...,n. The random variable Y has the geometric distribution where lambda is 1/2. How can I prove...

• Replies: 2
• Views: 2,210
11-19-2010, 11:31 PM
7. ### Conditional Distribution Expectation of E[Y^2]

I understand that with the Conditional Distribution Expectation of E, it's E(E). How about E? Is the correct formula E(E)?

• Replies: 1
• Views: 4,155
BGM
11-18-2010, 11:38 PM
8. ### How can we prove a text is written by a human beign?

A computer prints two papers, on the first paper is written, "ASDDSF DFGDF ERSDKUF DFD RRVFDSDA" on the second paper is written, "HOW ARE YOU...

• Replies: 5
• Views: 4,659
11-18-2010, 06:15 PM
9. ### Normal Distribution question

Can someone help me out with this, Based on a population that is normally distributed, with a population mean of \$470 and a population standard...

• Replies: 2
• Views: 3,306
11-17-2010, 08:05 PM
10. ### Help with problem

I am studying a non-symmetric binary memoryless transmission channel. Where the probability to receive a logical 0 when we send a 1 I have named it...

• Replies: 1
• Views: 2,438
BGM
11-17-2010, 11:38 AM
11. ### Bernoulli / Geometric Distribution Question

This is a question that is on a study-guide for a test I have coming up, and I'm completely lost. I was sick when we covered Bernoulli's experiments...

• Replies: 1
• Views: 4,587
11-17-2010, 01:15 AM
12. ### Confusd on procedure

I have a problem with only the this as a given Find P(Z> -.95). How do I find p...I don't know any other values to plug in or do I just make...

• Replies: 1
• Views: 3,922
11-16-2010, 08:37 PM
13. ### Easy Question For Smarter People Than Me

Hi I am new here and not that good at maths,statistics or probability but would like some help to prove a friend wrong and win a bet. Last week I was...

• Replies: 2
• Views: 2,091
11-16-2010, 08:33 PM
14. ### Question about a wording/context of a problem

I won't give the problem in its entirety here, because my only question is the wording/context of it. But I will only give a summary. Both X and Y...

• Replies: 4
• Views: 2,644
11-16-2010, 04:40 PM
15. ### Need Help

Hi I have a problem where in i need to generate a sequence for a variable which has a probability of 1/3. But length of the sequence is unknown....

• Replies: 1
• Views: 2,326
11-16-2010, 02:25 PM
16. ### Just starting with probability

Hi I am just starting with probability. I have a basic question. There are three rows R1, R2, R3, and a target can appear in any of the...

• Replies: 4
• Views: 2,544
11-16-2010, 01:00 PM
17. ### my answer and Q

Hi, can someone please have a look at my answer and Q? Thanks In advance:). Q:Let Pi represents the probability that the ith decision appears...

• Replies: 4
• Views: 3,105
11-16-2010, 11:13 AM
18. ### Probability System, discrete dist.

here is the system we're dealing with here Component 1 is the key one while an identical backup component is 2 and is in an "off" state until...

• Replies: 28
• Views: 9,740
11-16-2010, 12:10 AM
19. ### Gene probability question!!

have no idea where to go with this question so your help would be grately received. My probability is fairly basic... Three naturally occuring...

• Replies: 0
• Views: 3,230
11-15-2010, 07:22 PM
20. ### small question in LTI system and autocorrelation

given an LTI system: y'(t)+2y(t)=x(t) the system processes an WSS random signal X(t); E{X(t)}=0 ; Rxx(T)=delta(T). Find average power of the...

• Replies: 0
• Views: 2,749
11-15-2010, 06:23 PM
21. ### question in autocorrelation of WSS process

X(t) is WSS process with E{X^2(t)}=1 what is the autocorrelation function of this process? >>R(t,t+T)=E{X(t)X(t+T)}.......?

• Replies: 2
• Views: 3,238
11-15-2010, 05:20 PM
22. ### Decision theory

I came across this question and I could attempt part one , but part two is very confusing though I am not sure if the part 1 that I attempted is even...

• Replies: 1
• Views: 2,688
11-15-2010, 04:02 PM
23. ### I need guidance on my probability question

hello, Im trying to learn and not copy some one else's hard work. My question, If I have a sentence consisting of x letters (which I do not...

• Replies: 1
• Views: 2,885
11-15-2010, 12:23 PM
24. ### Help!!

Q1. X and Y are two random variables that are independent and each one is uniform in the interval . The joint density is just 1 in the square 0 ≤ x ≤...

• Replies: 0
• Views: 1,550
11-14-2010, 04:43 PM
25. ### need help with 2 small probability generating function questions please

1. Let X be the number showing on a fair rolled 6 sided die. What bound does chebychevs inequality give for P(X>=5 or X<=2)? I get its <= 31/80...

• Replies: 0
• Views: 1,927
11-14-2010, 02:08 PM
26. ### CJD problem

In a large corporation, people over age 30 have an annual income whose distribution can be approximated normally ~ (\$60K, \$100,000,000) with SD =...

• Replies: 7
• Views: 3,218
BGM
11-14-2010, 08:19 AM
27. ### probability generating function

Let Y=x+4. Compute rY(t) in terms of rX is the answer just r 3X+4 (t) ? also

• Replies: 3
• Views: 3,844
BGM
11-14-2010, 08:04 AM
28. ### very confused

if P( Z > x ) = 0.99 – 2.33 = x is it correct ? very confused= =!:o

• Replies: 4
• Views: 3,352
11-14-2010, 12:58 AM
29. ### Indy Random Variables, using a Quotient

Edit: ***SOLVED*** You have X and Y random variables, and let Z = Y/X at the end, when you want to compute the quotient probability, if they're...

• Replies: 0
• Views: 2,823
11-12-2010, 04:43 PM
30. ### Joint Independent Normal Random Variable question

This is not a HW problem, however, there are other parts to this problem(I'm giving part (a), but only parts (b) and (c) are assigned), and I'm...

• Replies: 3
• Views: 4,858
11-11-2010, 09:57 PM
31. ### event within an interval

hi all, this is my problem: - i have 2 experimental condition - the same support for both experimental condition - the support i divided i many...

• Replies: 0
• Views: 3,513
11-11-2010, 11:47 AM
32. ### kth sample moment

Show that the kth sample moment about the origin, based on a sample of size n, is an unbiased estimate of the kth theoretical moment of a random...

• Replies: 1
• Views: 6,093
11-11-2010, 03:55 AM
33. ### Urgent - how do i find joint density?

If i have 2 individual probability distributions given for 2 different variables. So i have 2 variables x1 and x2. the distribution of x1 is the...

• Replies: 1
• Views: 3,722
11-11-2010, 03:35 AM
34. ### Joint Density Problem - one with a Circle

nomessage..

• Replies: 3
• Views: 3,803
11-10-2010, 10:20 PM
35. ### Higher Order Statistics

Hi all. I am a little bit confused with the theory of the polyspectra. As stated (Mendel, Nikias, etc), the higher order spectrum of a gaussian...

• Replies: 0
• Views: 2,689
11-10-2010, 04:48 PM
36. ### [URGENT] TrickY problem about conditional probability

1) Consumer in a supermarket, 20% buy 10 items or less, 70% spend more than \$ 10, and 68% spend less than 10 dollars and buy more than 10 items. what...

• Replies: 2
• Views: 3,650
11-09-2010, 04:34 PM
37. ### simple proof of expected value...

CV are random variables. Whats a hint to show if C<=V, then E(C)<=E(V)? my bad attempt if C<=V then P(C=s)<=p(V=s) for all s so summation of...

• Replies: 6
• Views: 5,214
BGM
11-09-2010, 03:47 PM
38. ### Point (X,Y) is picked inside square

I saw this problem and we have gone over joint probability but I searched all over my textbook and could not find a problem similar. A point (X,Y)...

• Replies: 9
• Views: 6,534
11-09-2010, 12:26 PM
39. ### Help PLz.

I'm doing my college statistics homework and i have a number of problems that i cant seem to figure out at all.. i was hoping to get someones help by...

• Replies: 6
• Views: 2,842
BGM
11-09-2010, 12:24 PM
40. ### pls help me ok^^?

hi all, who can give me hint to finish the question below? many thanks^^:yup: ----------------------------------------------------------------- A...

• Replies: 6
• Views: 3,016
11-09-2010, 10:50 AM
41. ### Small question in stochastic processes

fair coin toss: X(t,H)=cos(t) if heads shows X(t,T)=sin(t) if tails shows Introduce a Bernoulli random variable B and express X(t) in terms of...

• Replies: 1
• Views: 4,625
BGM
11-09-2010, 03:26 AM
42. ### Finding Mean and Variance for X^2 Given Mean and Variance for X

I am working on a question that has me stumped. X1, X2, ... Xn are normally distributed and independent. Each has a mean of 0 and variance sigma^2....

• Replies: 4
• Views: 72,341
11-08-2010, 06:47 PM
43. ### Poisson Distribution Conditional Probability

Hello, My name is Chris and I would greatly appreciate some help concerning the folowing Probability problem. Suppose that the number of...

• Replies: 4
• Views: 15,248
11-08-2010, 10:53 AM
44. ### joint probability density function, using the Jacobian

X1 and X2 are independent random variables from a standard normal distribution so the joint p.d.f of X1, X2 = p.d.f X1 x p.d.f X2 = ( 1/(2pi)^1/2)...

• Replies: 4
• Views: 7,412
BGM
11-07-2010, 10:39 PM
45. ### What does this mean?

If a question asks us to find (X,Y) or show that (X,Y) ~ something X = something Y = something does that mean it is asking us to find/show the...

• Replies: 1
• Views: 2,269
BGM
11-07-2010, 10:35 PM
46. ### expected value question

Whats a hint to solve E(min(X,100)), when X~Geometric(theta)?

• Replies: 3
• Views: 4,036
BGM
11-07-2010, 10:31 PM
47. ### variance help

How is it possible that a variance can equal to infinity?

• Replies: 1
• Views: 2,412
11-07-2010, 09:51 PM
48. ### help with expected value

1. Let X,Y and Z be 3 random variables, and X and Z are independent. Prove that Cov(X+Y,Z)=Cov(Y,Z). For this i expanded into E(Z(X+Y)) -...

• Replies: 6
• Views: 4,729
11-07-2010, 01:09 PM
49. ### Joint Density Function - Exponentials

please delete, I overthunk myself on this one.

• Replies: 4
• Views: 3,112
11-06-2010, 10:52 PM
50. ### How to prove that an unbiased estimator does NOT exist for a parameter?

Hello all, How can I prove that an unbiased estimator does not exist for a particular parameter? What are the methods usually used to do this? ...

• Replies: 0
• Views: 4,269
11-06-2010, 07:00 PM
51. ### Minimum of 2 Random Variables question

R(1) and R(2) are 2 independent random variables with same density function f(x) = x*(e^(-.5 * x^2)) for x >= 0. Find the density of Y = min{R(1),...

• Replies: 7
• Views: 13,844
11-05-2010, 11:13 PM
52. ### Z-scores & Central Limit Theory

I have been trying to work on my stats for a right long time now. I can't figue out this one question in my textbook. I don't understand or even know...

• Replies: 1
• Views: 6,765
11-05-2010, 08:04 PM
53. ### Normal distribution probability

Hi, :wave: I have problem to solve this question. A certain brand of cattle feed comes in bags marked 40 kg. The grain company claims that the...

• Replies: 2
• Views: 3,114
11-05-2010, 01:00 PM
54. ### Calculate the probability of collisions in an RF system?

Dear Sirs, I have a question in probability which i hope you can help me with: In a building there are N number of transmitters. Each such...

• Replies: 2
• Views: 3,951
11-05-2010, 08:34 AM
55. ### Order Statistics Min/Max problem

4 people agree to meet at a cafe shop at noon. The mean is noon, with SD of 5 minutes. What is the chance that some of the 4 don't arrive by 12:15? ...

• Replies: 1
• Views: 4,932
11-04-2010, 08:45 PM
56. ### Easy Probability Question

Hi. I have an easy probability question. If you flip a coin 50 times, what is the probability of getting 70% heads? Sorry this is so easy,...

• Replies: 7
• Views: 2,894
11-04-2010, 05:05 PM
57. ### Markov chain

There are two states, A and B; A is initial state from where Markov chain starts. If 5 out of 8 samples have probabilities P1, we move from A to B....

• Replies: 4
• Views: 3,240
11-04-2010, 04:36 PM
58. ### Special Continuous Distributions

I am NOT asking for answers!! Let me make that clear... I'm only asking for help in the method as to solving problems such as these. I missed my...

• Replies: 3
• Views: 5,462
11-03-2010, 06:55 PM
59. ### Transition Probability

Hi. I have a question about transition probability. Q) Markov chain on states {0,1,2,3,4,5} has transition probability matrix (which is 6 by 6...

• Replies: 7
• Views: 4,431
11-03-2010, 05:46 PM

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