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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: 30,334
09-30-2005, 09:44 AM
1. ### Comparison of variability of synthetic and real data

Hello, I'm trying to compare a real dataset with a random (synthetic) distribution to determine whether a pattern I see in the data is real or the...

• Replies: 0
• Views: 1,261
02-05-2014, 03:36 PM
2. ### comparison with normal distribution truncated

Hello, I would to know how to calculate the probability that X > Y when Y is greater than a given value p (X and Y are random variable following...

• Replies: 7
• Views: 1,847
06-04-2014, 06:53 AM
3. ### Competition scoring problem

Not a homework question; a real scenario that I think should be determinable but I don't know how to... x number of people will enter a poker...

• Replies: 0
• Views: 2,093
GRM
08-22-2010, 02:15 PM
4. ### Complements, Unions, and Intersections

Help!:shakehead In a market research survey participants were asked if they put ketchup directly on their fries or along side. 26% of men said...

• Replies: 4
• Views: 4,211
01-28-2007, 01:57 PM
5. ### Complex probability relating to NYC taxi cabs

There are 13,000 taxi cabs in New York City. Let's say I have taken 600 rides (each one in a random cab). What are the chances that I have...

• Replies: 5
• Views: 2,326
12-30-2013, 10:21 AM
6. ### Complex question of combinatorial probability

I would like to know if an equation exists or can be defined for computing the probability of drawing (at random from a population of elements) all...

• Replies: 5
• Views: 1,620
12-25-2012, 05:32 AM
7. ### Complicated Probability

Q1. Suppose that four regular 6-sided dice are flipped. 1.What is the probability of a "three-of-a-kind" that is, three of the dice show the same...

• Replies: 1
• Views: 1,819
BGM
11-23-2011, 01:53 AM
8. ### Complicated STATs problem

Say I have five variables A, B, C, D and E that range anywhere from -11 to 11. Given that A,B,C and D occur before E and there is correlation,...

• Replies: 0
• Views: 2,702
11-13-2008, 12:58 PM
9. ### Compound Distribution Hyper-Parameters

Hi, If a compound distribution is made up of a gamma dist with parameters (a,b), and b is gamma-distributed so that its parameters are (c,d), such...

• Replies: 1
• Views: 1,340
BGM
04-18-2016, 01:57 AM
10. ### Compound Probability

Hey guys, i am having a bit of trouble with this basic probability question which shows that i do not understand the basics at all. The question...

• Replies: 4
• Views: 1,431
04-26-2015, 10:01 AM
11. ### compromise between efficiency and accuracy

Hi! Not sure I post in the right place, but maybe you can help, and some probabilities can be introduced in discussion for the following problem:...

• Replies: 0
• Views: 965
08-06-2015, 10:36 AM
12. ### Compuite P{X < Y} conditioned on the value of Y; intuition behind it.

Dear people, I have a question concerning the following steps to compute P{X < Y}. The steps shown are the following: P{X < Y} = \int P(X <...

• Replies: 1
• Views: 1,442
BGM
10-27-2013, 07:54 AM
13. ### Computer game log normally distributed

I'm playing a computer game and I want to boost the high score. I assume that attempts are independent (say, you do not improve by playing), and in...

• Replies: 0
• Views: 2,251
11-29-2016, 03:45 PM
14. ### Computing a difficult expectation of a Gaussian r.v.

I'd really appreciate any ideas that anyone could offer. Let X be a non-standard Gaussian random variable with mean a, variance b. Compute the...

• Replies: 2
• Views: 2,942
02-04-2011, 04:15 PM
15. ### Computing MLE estimate

So I have so i'm stuck at taking the log :mad: can somoene help me ?

• Replies: 5
• Views: 2,196
01-06-2015, 01:17 PM
16. ### Computing pobabilities for any normal probability Dist.

Greetings all, I am a math challenged individual in the middle of a stats class and (you've heard it before) seriously struggling with story...

• Replies: 2
• Views: 4,730
10-14-2012, 03:23 PM
17. ### Computing probability

fX(x)= (3/8)*x*x 0<x<2 fY(y)= 1/x x<y<2x P(1<y<3) Now how do i do this ? Do i have...

• Replies: 1
• Views: 1,360
BGM
08-29-2014, 03:47 AM
18. ### Computing probability density function

If I know the probability distribution of two variables, say x and y, i.e. I know that P(x) and P(y) are both gaussian, how would I compute the P(R)...

• Replies: 4
• Views: 1,742
07-01-2012, 11:17 PM
19. ### condi prob question, stuck

if f(x,y)=3 from 0<x<1, 0<y<x. whats the conditional densiity function for fy(y|x<0.3)? i try to use bayer theorm and marginal density, but...

• Replies: 1
• Views: 1,367
BGM
11-14-2013, 01:00 AM
20. ### condition expectation and variance

Let X, Y be independent exponential random variables with means 1 and 2 respectively. Let Z = 1, if X < Y Z = 0, otherwise Find E(X|Z) and...

• Replies: 0
• Views: 2,666
01-25-2008, 11:10 PM
21. ### conditional binomial is a poisson distribution

Hi, I'm fighting with this problem for a while. There is something important I'm missing So the problem goes like this X~Poisson(lambda) and Y|X=k...

• Replies: 13
• Views: 22,230
10-21-2015, 04:01 PM
22. ### Conditional covariance

X_i\sim Ber(\frac{1}{4}) and Y_i\sim Ber(\frac{3}{4}). Find Cov(\sum_{i=1}^{N} X_i,\sum_{i=1}^{N} Y_i) where P(N=k)=\frac{1}{2^k} for k=1,2,3,.... ...

• Replies: 5
• Views: 8,196
05-15-2011, 10:09 AM
23. ### Conditional density, bivariate normal

Let Z=X+Y where X \sim N(\mu,\sigma^2) and Y \sim N(0,1) are independent. What is the conditional density of X given Z, f_{X|Z}(x|z)? I already...

• Replies: 3
• Views: 1,366
06-10-2015, 05:51 AM
24. ### Conditional distribution

Let X be a random variable. Given: -P(X = 1) = 1/2 -P(X = 2) = 1/2 -The conditional distribution of Y given X is an exponential with rate X. ...

• Replies: 1
• Views: 1,110
12-05-2013, 06:14 AM
25. ### 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: 4,165
BGM
11-18-2010, 11:38 PM
26. ### Conditional distribution of 3 multivariate normal distribution vairables

what is the conditional distribution of variable a, given that u know b and c, if a,b,c obey multivariate normal density?

• Replies: 3
• Views: 1,600
07-31-2016, 12:20 PM
27. ### Conditional distribution of transformed variables

Hi, I'll appreciate if someone can help me figure out the following problem: Let \Theta,E_1,E_2 be all real-valued random variables. E_1 and E_2...

• Replies: 1
• Views: 2,931
BGM
12-25-2010, 02:04 PM
28. ### Conditional Distribution over the unit Disk

Suppose the Random Variables U and V are uniform (-1,1). How can I show that their conditional distribution, given U^2+V^2 <1 , is ...

• Replies: 2
• Views: 1,555
01-14-2014, 09:28 AM
29. ### Conditional ev,big problem with definition

I jus dont seem to understand this concept "conditional e.v." I do know the definitions: joint density f_X,Y , conditional density of X given Y=y,...

• Replies: 3
• Views: 3,107
BGM
08-28-2010, 12:26 PM
30. ### Conditional expectation

Good afternoon, I have to calculate the expected value of a logistic distribution given that the values are above a given constant (lets say 0). So...

• Replies: 1
• Views: 3,975
BGM
06-14-2012, 04:58 PM
31. ### Conditional Expectation

I will keep it simple... Suppose the Joint PMF is: 1/2 x = -4, y = 1 1/2 x = 6, y = 7 I have already computed several actual values for...

• Replies: 1
• Views: 1,307
BGM
10-14-2012, 12:04 PM
32. ### conditional expectation and variance

Hi there, Suppose X~Exp(lam). We have a sample from X of size n. Knowing that the data follow the exponential diastribution, we fit the...

• Replies: 4
• Views: 4,679
02-09-2009, 01:54 PM
33. ### conditional expectation behaviour

Hi, I had an exam the other day and I had to prove if some function was a martingale or not. I don´t remember it accurately, but I do remember I got...

• Replies: 0
• Views: 2,578
03-02-2009, 09:45 AM
34. ### conditional expectation given sum

Hello, I need your help. Suppose: X\sim N(0,\sigma^2_x), Y\sim N(0,\sigma^2_y) , X, Y are independent, and c\in R. I need to find an...

• Replies: 0
• Views: 2,250
07-28-2016, 03:58 PM
35. ### Conditional Expectation Problem

Hi all I need to solve the following problem: If E(X|Y)=Y and E(Y|X)=X, prove that X=Y almost surely. Seems like I'll need to use the...

• Replies: 5
• Views: 4,753
BGM
03-26-2011, 12:36 PM
36. ### Conditional Expectation problem

Consider n multinomial trials, where each trial independently results in outcome i with probability p_i,\sum_{i=1}^{k}p_{i}=1. With X_i equal to the...

• Replies: 2
• Views: 3,405
08-08-2011, 03:09 AM
37. ### Conditional Expectation Problem

Hi everyone, I have the following problem to solve and I would appreciate if someone could give me a hint on how to tackle it. Thank you in...

• Replies: 3
• Views: 1,903
BGM
12-22-2011, 01:55 PM
38. ### Conditional expectation question

Hey, I would really appreciate your help with the following question: X and Y each has a uniform distribution on and the two are independent....

• Replies: 8
• Views: 5,416
03-06-2010, 02:46 AM
39. ### Conditional Expectation question

My final is on Mon, and I got this HW problem wrong from last week, and I still don't understand why. An item is selected randomly from a...

• Replies: 6
• Views: 6,334
12-21-2010, 07:11 AM
40. ### Conditional expectation, normal distributions

I'm having some trouble with the following problem: Problem: Let X and Y be independent N(0,1) random variables. Determine E(X|X>Y) My...

• Replies: 4
• Views: 7,902
BGM
06-27-2013, 05:38 PM
41. ### Conditional expectation, three exponential distributed r.v.

First post... Let A, B and C be independent exponential distributed random variables with parameters lambda_A, lambda_B and lambda_C,...

• Replies: 2
• Views: 2,575
08-27-2010, 07:20 PM
42. ### Conditional Expected Value

Given: x = N(0,1) y = N(0,1) z = N(0,1) *x,y, and z are statistically independent That is, x, y, and z are all normally distributed with mean 0...

• Replies: 3
• Views: 3,617
03-30-2009, 01:09 AM
43. ### Conditional expected value

I have two possibilities; X1 and X2. The question is: If you know that X1 gives you 0 then what does X2 give you? I set up a table: X2: 2 0 ...

• Replies: 3
• Views: 2,495
09-26-2009, 05:58 AM
44. ### conditional expected value #2

I have two possibilities; X1 and X2. I set up a table: X2: 2: 0: -2 : X1: 0 : 0.1 0.2 0.1 -2: 0.0 0.3 0.3 Then I found: Px1(0)...

• Replies: 4
• Views: 2,973
BGM
09-27-2009, 10:57 AM
45. ### conditional independence

hello, I would like to ask the following: I have 3 random variables X , Y and Z. If I know that X is independent of Y given Z then does this...

• Replies: 3
• Views: 1,494
10-29-2014, 02:57 PM
46. ### conditional mean of a lognormal variable

Hi, does anyone know whether there exists a code or program to calculate the conditional mean of a lognormal variable, e.g. E? Thanks, tarama

• Replies: 0
• Views: 3,150
06-06-2006, 11:03 AM
47. ### Conditional Monthly Risk Calibration for a trading model

Hi, I have a trading system with a portfolio of assets (long and shorts) with daily market returns. I want to overlay a risk management to my...

• Replies: 0
• Views: 2,102
10-13-2016, 12:13 PM
48. ### Conditional multivariate

Strangely, I am not sure about something very simple... I know that by definition, P(X1 | X2,X3) = P(X1,X2,X3) / P(X2,X3) But is this also...

• Replies: 1
• Views: 3,232
BGM
02-15-2011, 10:18 AM
49. ### conditional normal distribution

Hi all First of all, I am new here but I am not new to statistics. But I need your help:cool: I do have a multivariate normal distribution:...

• Replies: 1
• Views: 3,128
10-22-2007, 08:38 AM
50. ### conditional normal distribution

dear all, i have the following question that i don't get my head around. suppose x1 and x2 are jointly normally distributed. i am interested in...

• Replies: 1
• Views: 3,971
BGM
02-19-2012, 04:51 PM
51. ### Conditional normal implying independence

So reading a book someone comment that e \lvert x \sim N(0,1) hence e is independent of x. Why is this the case? Trying to prove this to myself...

• Replies: 1
• Views: 1,680
BGM
01-06-2015, 05:19 AM

Hello, let X, Y, Z be 3 random variables. how to express the conditional probability P in terms of P and P?

• Replies: 0
• Views: 2,294
06-15-2009, 09:26 AM
53. ### Conditional prob question - Is my answer correct

I wondered if someone could confirm my workings... In a certain sports club, 32 % of members play football, 31 % of members play baseball, and 23...

• Replies: 0
• Views: 1,674
10-28-2011, 11:48 AM
54. ### conditional probabilities

P(A)= 0.3 P(B)= 0.5 find P(A union B) if: a) P(B|A)= 0.25 b) A is a subset of B i just need hints to solving these two, not looking for the...

• Replies: 2
• Views: 2,058
02-06-2009, 04:12 PM
55. ### Conditional Probability

To reduce theft, the ABCD Company screens all its employees with a lie detector test that is known to be correct 90 percent of the time (for both...

• Replies: 0
• Views: 7,528
10-30-2005, 11:59 PM
56. ### Conditional Probability

Hey I'm sorry this problem is kind of long, but I really cannot figure it out. The advantage of your experimental blood test is that 95% of the...

• Replies: 2
• Views: 3,712
01-30-2006, 08:35 PM
57. ### Conditional Probability

I am having a very hard time with this one problem, I did a search on the site but came up empty so I'm sorry if this is a repost. Last semester,...

• Replies: 2
• Views: 2,367
10-19-2008, 04:49 PM
58. ### Conditional Probability

Let A and B be events such that P(A)=0.2, P(B)=0.3, and P(A|B)=0.1. What is P(A|B^c)? (i.e. what is B complement?) Answer is 0.243, but I have no...

• Replies: 1
• Views: 2,406
01-06-2011, 05:08 PM
59. ### Conditional Probability

In order to be qualified for a job, a candidate need to pass 3 exams. If a candidate fail an exam, he can't take the next one. A random candidate...

• Replies: 8
• Views: 3,090
12-06-2011, 08:13 PM

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