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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: 30,277
09-30-2005, 09:44 AM
1. ### probability question (re success)

• Replies: 1
• Views: 1,462
BGM
04-21-2012, 02:31 PM
2. ### lottery probability

• Replies: 1
• Views: 1,892
BGM
04-21-2012, 02:27 PM
3. ### Probability of rain on a weekend

This is an open problem that we can choose how we want to answer. It is based on managing construction projects and determining the number of...

• Replies: 1
• Views: 1,652
04-20-2012, 03:24 PM
4. ### Cominatorics Question ~ How many equations can be written with n variables?

Hi everyone, currently I am doing a thesis paper. I have currently 7 variables I need to write in terms of the others to satisfy some homogeneity...

• Replies: 2
• Views: 1,732
04-20-2012, 03:21 PM
5. ### Inverse Exponential Distribution & Linear Exponential Family

Suppose X has an inverse exponential distribution with parameter λ. f(x) = λ exp(-λ/x) / x^2 , if x>0. This distribution is in the linear...

• Replies: 0
• Views: 2,643
04-20-2012, 04:06 AM
6. ### dice prob. of sum

I have a question about a probability of sum in dices. lets say its a dice with 20 or more sides. for normal dice i just write for each sum of 2...

• Replies: 4
• Views: 1,979
04-20-2012, 02:49 AM
7. ### Random Variable homework question help

The problem is: In a competition there are 12 canoes, 6 are red, 4 are green and 2 are yellow. We are interested in the random variable X being...

• Replies: 0
• Views: 1,268
04-20-2012, 12:50 AM
8. ### distribution

Distribute six energy units to four different states, 0ε, 1ε, 2ε, 3ε, with the constraint that the total energy of the system is equal to 4ε which...

• Replies: 0
• Views: 1,384
04-19-2012, 03:19 PM
9. ### wald test with two samples--testing whether two ML estimates are equal

Hi, The Wald test can be used to compare the value of a maximum likelihood estimate to a proposed value. (with the assumption that the difference...

• Replies: 0
• Views: 2,291
LVP
04-18-2012, 12:02 PM
10. ### Lines of regression

Im little confused with the following. there are 12 patients, each is assigned assigned an index I when first administered depending on the...

• Replies: 4
• Views: 2,293
04-18-2012, 12:01 PM
11. ### customer service problem

N customers circulate in a closed system with two servers. In Server 1 and Server 2, service times are exponential with parameters µ1 and µ2,...

• Replies: 0
• Views: 896
04-17-2012, 09:12 PM
12. ### Standardising sample mean formula

Hello, I need help with the following question: Prove, using the laws of expected value and variance, that the mean and variance of Z = ...

• Replies: 0
• Views: 1,808
04-17-2012, 03:31 AM
13. ### max sum

Consider two discrete variables x and y each having three possible states, for example x, y ∈ { 0, 1, 2 } . Construct a joint distribution p(x, y)...

• Replies: 2
• Views: 1,758
04-16-2012, 10:43 PM
14. ### Help me get started setting up an elementary problem for use with a monte carlo sim

I want to further understand monte carlo simulations. I have a business and I want to correctly set up a problem to find the likelihood of future...

• Replies: 7
• Views: 2,674
04-16-2012, 01:31 PM
15. ### discrete approximation of a normal distribution

Hi, i have a normal distribution \mu=10, \sigma=1 and need a discrete approximation of it in order to calculate e.g. P(X=8). How can i...

• Replies: 5
• Views: 7,342
04-16-2012, 11:05 AM
16. ### probability of X consecutive heads vs selecting 3 cards from 7

Hi, As far as i was aware both of these should be able to be solved in a similar manner yet the book im reading says otherwise. 1) 7 cards, 4...

• Replies: 2
• Views: 1,151
04-16-2012, 10:58 AM

This is one concept I cannot understand. I'm studying for a test and loathe the probability chapter. Here is the problem and I following all of the...

• Replies: 12
• Views: 5,581
04-15-2012, 06:45 AM
18. ### Craps Probability

I was a math major at Johns Hopkins, but for some reason this is giving me trouble. I want to know the probability of rolling EITHER a 4, 5, 9, or...

• Replies: 3
• Views: 1,841
BGM
04-15-2012, 05:36 AM
19. ### Individual parts combined to make a new one. Find mean and SD

Hi all, I have found the mean and standard deviation of the length of a part using the probability density function I was given. Density...

• Replies: 3
• Views: 2,560
04-14-2012, 10:52 AM
20. ### dice probability

• Replies: 5
• Views: 1,649
04-13-2012, 05:01 AM
21. ### probability

7 digits from the numbers 1,2,3,...,9 are written in a random order. Find the probability that this 7 digit number is divisible by 9.

• Replies: 1
• Views: 1,731
04-13-2012, 04:55 AM
22. ### Maximum likelihood estimator for a specific value of Y

Let Y1,Y2,Y3,...,YN denote a random sample of size n from a Poisson distribution with mean lambda. a. Determine the MLE for P b. Obtain (as a...

• Replies: 1
• Views: 2,517
04-12-2012, 03:43 PM
23. ### Weird Hypothesis testing with normal distribution -> binomial distribution

For a random sample of size n=64 from the Normal distribution with a standard deviation=1.22 known tset for a mean, of the hypotheses H0: mu=5...

• Replies: 0
• Views: 1,722
04-12-2012, 02:30 PM
24. ### Bimonial aggregation

Hi, I'll try to keep this brief. I'm having troubles working with the binomial for a sporting event. Here's a totally simplified and fictional...

• Replies: 5
• Views: 2,031
04-12-2012, 09:05 AM
25. ### Joint and Conditional Distributions

I'm taking a calc-based Stats and Probability class, working on a problem that asks me to show, analytically, that if X,Y are independent binomials...

• Replies: 2
• Views: 2,217
04-11-2012, 08:39 PM
26. ### need help on permutations

I am trying to solve a problem that can be represented by rolling an n-sided die r times. I need to be able to figure out the probabilities of the...

• Replies: 1
• Views: 1,414
BGM
04-11-2012, 04:14 PM
27. ### Binomial + Binomial

Hi, I'm having difficulty working with the binomial - specifically aggregating binomial distributions. Hoping somebody can tell me where I'm...

• Replies: 0
• Views: 935
04-11-2012, 02:41 PM
28. ### Chi Squared : Explaining the numbers

Hello! Thank you in advance for your help and I hope I have posted this in the correct section. My question involves verbally explaining chi...

• Replies: 2
• Views: 4,406
04-11-2012, 02:49 AM

Hi all, the definition of the chi-quadrat distribution is \chi^2_n \sim Z_1^2 + \dots + Z_n^2 with Z_i \sim N(0,1) My question: Are...

• Replies: 6
• Views: 1,982
BGM
04-10-2012, 01:13 AM

I am gonna post the questions one by one and would appreciate if someone here could explain and solve them for me. All of them are MCQ's. The first...

• Replies: 4
• Views: 2,503
04-08-2012, 05:27 PM
31. ### Order statistics, sample median

Hi! Can you help me with this: we have X=(X1, X2, ... Xn) - iid, Xi ~ N(m,1), I need to prove that distribution of med(X)-X(j) is the same as...

• Replies: 4
• Views: 4,136
04-08-2012, 04:59 PM
32. ### Generalized multivariate t / Pearson Type VII distribution with vector d.f.?

Does anyone know if there's such a thing as a multivarate t or Pearson Type VII distribution with vector-valued rather than scalar-valued degrees of...

• Replies: 0
• Views: 2,288
04-07-2012, 11:08 AM
33. ### Probability Density

The joint density function of X and Y is given by f (x, y) = xe^(-x(y+1)) x > 0, y > 0 (b) Find the density function of Z = XY. How is it...

• Replies: 2
• Views: 4,168
04-05-2012, 05:40 PM
34. ### Help with derivation of probability density of {event generation} & {event detection}

I would like to specify a new probability distribution that relates to an event of size M being produced by some process and subsequently detected....

• Replies: 6
• Views: 1,902
04-05-2012, 05:24 PM
35. ### random walk on the integers

consider a random walk on the integers such that P_{i,i+1} = p, P_{i,i-1} =q for all integers i and (0<p<1, p+q=1). Determine P^n_{00}. So...

• Replies: 1
• Views: 1,582
BGM
04-05-2012, 02:06 PM
36. ### Conditional Probability: conditioning on intersection of two events

Hi, I came across the following probability problem at my job, and would really appreciate any pointers. Let's assume that 70% of the visitors to...

• Replies: 1
• Views: 3,040
BGM
04-05-2012, 02:03 PM
37. ### Can't understand what this question means

Let X and Y have exponential distributions Exp(3) (i.e, with the parameter 3) We assume that X and Y are independent. Let U=x+2Y and V=-x+Y....

• Replies: 5
• Views: 1,983
04-05-2012, 07:23 AM
38. ### Stochastic Processes- Renewal process

I was hoping I could reach out to people on this forum to help me better understand my course material. My question is from A first course in...

• Replies: 3
• Views: 1,751
04-03-2012, 10:19 AM

I'm an undergrad studying Linguistics and Computer Science, and I'm hoping to do some stats-related research this quarter. The problem is, my...

• Replies: 1
• Views: 1,535
04-02-2012, 06:53 PM
40. ### Method of Moments question

First, sorry if this is in the wrong forum. This is a general question. Given the pdf and the first theoretical moment (ie here its E(X) =...

• Replies: 3
• Views: 2,263
04-02-2012, 05:45 PM
41. ### null hypothisis and p value

This is my question; A medical Researcher knows that the generally accepted level for Triglycerides in Adult Males is 110 mg/dl. Fearing that men...

• Replies: 5
• Views: 2,576
04-02-2012, 03:45 PM
42. ### Another martingale question

I have another martingale question. Let {X_n; n>=0} be a martingale with respect to {Y_n}. Prove for any set of integers k<=l<m that the...

• Replies: 2
• Views: 2,047
04-02-2012, 10:10 AM
43. ### Can't seem to solve this p(x+y>1)

Given f(x,y) = 3x/2 for 0<x<1 , -x<y<x Find P(x+y>1) .

• Replies: 15
• Views: 5,469
04-01-2012, 07:13 PM
44. ### Coin Fliipping or Rats at Vertices

I'm aware that if you play the coin flipping game where the winner is the first to get a head the player who goes first has a 2/3 chance of winning....

• Replies: 1
• Views: 1,958
BGM
04-01-2012, 02:01 PM
45. ### School Lottery

Hi I have been assigned the task of calculating the expected value (E(X)) for a school lottery from the perspective of a ticked buyer. This is a...

• Replies: 0
• Views: 1,149
03-31-2012, 09:20 AM
46. ### I have a real stumper here

I have a question that has stumped everyone I have asked. I wonder if anyone can help. Here is the scenario. Every time that team A plays on...

• Replies: 17
• Views: 3,995
03-30-2012, 11:47 PM
47. ### White's Reality Check test

Hi, I have a stock dataset for which I have found the "best" trading rule. Now, I need to find out the probability that this is the best trading...

• Replies: 1
• Views: 3,692
03-30-2012, 03:41 PM
48. ### Fano plane concept applied to lottery combinatorics

I came across an interesting combinatorics optimisation description for 14numbers. Maybe someone good in combinatorics can expand this fano plane...

• Replies: 2
• Views: 2,476
03-30-2012, 12:58 PM
49. ### limit of a probability

Hi, I need to show that lim for n going to infinity of the probability of (n-1) C1>=C2+C3+...+Cn-1 =0. I have C1<C2<...<Cn-1<Cn. All Ci >0. I...

• Replies: 1
• Views: 2,476
03-30-2012, 11:13 AM
50. ### I've been stuck for a while on this part. Help would be really appreciated!

Let X1, . . . , Xn be IID Exponential(?) random variables. Use mgfs to find the distributionofY =X1 +...Xn.

• Replies: 0
• Views: 1,919
03-30-2012, 12:31 AM

Just can't get my head around this question and it's killing me. Any bit of help would be amazing! thank you :) In a Jackpot Lottery, 1500 numbers...

• Replies: 0
• Views: 1,334
03-29-2012, 07:33 PM
52. ### math probability help

post deleted

• Replies: 0
• Views: 1,852
03-28-2012, 03:09 PM
53. ### Likely hood of a specific score

Im stuck on the following problem which is in my regression/prediction chapter. Ive summarised the question (note: if someone wants all the text,...

• Replies: 2
• Views: 2,342
03-28-2012, 10:04 AM
54. ### Probability of arthritis condition requiring medical treatment

Hi everyone, I am trying to model the probability over time that a case of mild post-traumatic osteoarthritis in its early stages progresses to...

• Replies: 4
• Views: 2,015
BGM
03-28-2012, 01:34 AM

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