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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: 31,161
09-30-2005, 09:44 AM
1. ### Convergence

If Z_n = \frac{1}{n}*\sum_{i=1}^nX_i^2 where X_i=N(\mu,\sigma^2) 1) Show that Z_n \rightarrow^p \mu^2+\sigma^2(convergence in probability) I...

• Replies: 12
• Views: 2,295
12-06-2014, 10:46 AM
2. ### Strong Law of Large Numbers

If X_n is a sequence of random variables and Cov(X_i,X_j)=0 for all i,j and Var(X_j)\leq c for all j. Show that X_n satisfies the strong law of large...

• Replies: 2
• Views: 1,710
12-06-2014, 10:46 AM
3. ### A Couple of Questions Re: Birth and Death Processes

Hello, I have a few homework questions regarding birth & death processes (CTMCs) that I'm having trouble solving: 1) Suppose a CTMC has a death...

• Replies: 0
• Views: 2,418
jli
12-06-2014, 04:18 AM
4. ### Joint Normal distributed independent random variable question

Sam's bowling scores are approximately normally distributed with mean 110 and standard deviation 11, while John's scores are normally distributed...

• Replies: 1
• Views: 1,679
12-05-2014, 05:24 PM
5. ### Convergence in probability

If Z_n=\frac{1}{n}\sum_{i=1}^nX_i^2 and W_n=\frac{1}{n}\sum_{i=1}^n(X_i-\bar{X})^2 Show that V_n=Z_n - W_n \rightarrow^p \mu^2 What I think:...

• Replies: 6
• Views: 1,237
BGM
12-05-2014, 04:09 PM
6. ### Uniform Random Variables Joint Distribution Queston

x and y are uniformly and independently distributed over the interval . Find the probability that |x−y|, the distance between x and y, is less than...

• Replies: 2
• Views: 2,111
12-05-2014, 03:04 PM
7. ### Probability of k pairs of birthdays in a group of n people

Could somebody please tell me the formula for computing the probability that exactly k pairs will have the same birthday out of a group of n people? ...

• Replies: 11
• Views: 3,632
12-02-2014, 10:24 AM
8. ### Conditional Variance

Hi, I have difficulty understanding the definition of conditional variance as: var(X|Y) = E)**2 | Y]. Given the definition of variance of a...

• Replies: 7
• Views: 1,936
12-01-2014, 10:12 AM
9. ### Is this solvable?

Is this a solvable problem? Can someone please explain one way or the other…here goes: There are two parking lots in a bad part of town: Lot A and...

• Replies: 1
• Views: 1,291
11-30-2014, 11:48 PM
10. ### Simple prob question

Hey all, I have a very simple Q and would appreciate if you could confirm the right answer with me. Scenario: I am playing the lottery and have...

• Replies: 2
• Views: 1,470
11-30-2014, 08:00 AM
11. ### Secret santa problem

Hi everybody At my work we just started a secret santa game. We are 6 and we ended up getting an outsider to mix 6 pieces of paper, each with one...

• Replies: 5
• Views: 2,401
11-28-2014, 06:26 PM
12. ### Street con, probability problem from my statistics class.

Hello our teacher recently gave us a problem to take home and work on and I think I have most of it figured out but I would like some input and help....

• Replies: 1
• Views: 1,699
11-25-2014, 04:35 PM
13. ### Homework help with Confidence Intervals & Estimating Probability Proportions?

I'm super lost on a few sets of my statistics homework and wondering if anyone can walk me through this so I can finish the rest of the questions as...

• Replies: 2
• Views: 4,532
11-24-2014, 02:46 PM
14. ### When does the Normal Distribution arise?

Hello guys, Studying the multivariate normal distribution (and the univariate one as well), I found in Muirhead (1982) that the normal distribution...

• Replies: 1
• Views: 2,416
11-23-2014, 05:19 PM
15. ### Distribution

Hello, I having doubts on this issue 1) If X~Gamma(a,B) and Y~Beta(γ,B-γ), respectively with B>= 0 and γ>= 0, such that γ <= B. Which...

• Replies: 10
• Views: 2,336
BGM
11-22-2014, 04:56 PM
16. ### Hard probability question/game-binomial dist.

Consider 50 people and series of 10 rooms. Each room has, for example, 5 doors that will open to the next room with known (totally known, including...

• Replies: 0
• Views: 1,084
11-22-2014, 09:58 AM
17. ### Combination and Permutation question

Hi guys, I'm new to the field of probability and statistics, I have a question that I can't seem to be able to solve, it would be a great help if you...

• Replies: 2
• Views: 1,514
11-20-2014, 11:03 PM
18. ### Expected Value and Variance

If a number X is chosen at random from the integers 1, 2, . . . , 100, what is the expected value and the variance of X? Expected value is just...

• Replies: 3
• Views: 1,951
11-15-2014, 07:12 PM
19. ### Stats help

A biology student wishes to assess the amount of calories in a certain brand of chocolate energy bars. A sample of bars is taken and the calories...

• Replies: 1
• Views: 1,710
11-14-2014, 05:32 PM
20. ### Maximum likelihood estimation of transition probabilities

Hi, I'm new to Markov chains but have been advised by a colleague to use this approach for my latest study. I have a basic understanding of the...

• Replies: 0
• Views: 1,304
11-13-2014, 04:27 AM
21. ### Calculating probability of at least/exactly X when rolling 2 n-sided dice

Hi, Psychology student struggling with probabilities here. Can anyone please tell me how do I calculate: 1) The probability of getting at...

• Replies: 0
• Views: 1,295
11-12-2014, 07:30 PM
22. ### Probability - Law of multiplication?

I'm reading about probability and encountered this problem: http://imgur.com/6xTM9Z1 (I guess the answer of a is 1-0,37=0,63 which is the...

• Replies: 0
• Views: 1,125
11-12-2014, 10:07 AM
23. ### "Show that fY|X(y) is a density function of a true probability distribution"

Where do I begin?? The course I'm taking is focusing heavily on proofs like this, and I'm studying it at a distance so my opportunity to ask...

• Replies: 3
• Views: 1,945
BGM
11-12-2014, 05:37 AM
24. ### Probability Help

Hello! Taking an introductory course on statistics in college. Confused about one question. It reads: The IRS reports that 15% of the tax returns...

• Replies: 1
• Views: 1,399
11-12-2014, 02:10 AM
25. ### Triple Coupon Collector's Problem

I've been looking around for solutions to a certain variation of the Coupon Collector's Problem, but I haven't been able to find anything (and I'm...

• Replies: 1
• Views: 1,496
BGM
11-11-2014, 03:29 AM
26. ### Problem:Finding n-stickers

Hello, we ( students ) were given a very randomly homework. I say randomly because we've been solving PROBABILITY tasks and now suddenly we were...

• Replies: 7
• Views: 2,084
BGM
11-10-2014, 01:08 PM
27. ### I am not sure how to solve for a probability when N is not given (beginner help).

I am having the most trouble with part "a)" but I am comparing the two answers so if you feel inclined to discuss part "b)" as well, I would...

• Replies: 6
• Views: 1,256
11-10-2014, 12:31 PM
28. ### Cumulative Distribution

Can anyone explain how to do this problem: Let X be a random variable uniformly distributed in the interval (0, 1). Find the cumulative distribution...

• Replies: 2
• Views: 1,796
11-09-2014, 06:25 PM
29. ### Poisson Distribution

I figured out that this is Poisson distribution with a parameter λ >0 P(X = k) = ((λ^k)/k!)e^−λ , k = 0, 1, . . . , And now I want to show that...

• Replies: 3
• Views: 2,644
11-09-2014, 05:42 PM
30. ### Independent Variables and Distribution

I am having a lot of trouble starting this problem. Can anyone explain the process in doing this problem. Thank you for any help in advance. ...

• Replies: 1
• Views: 1,325
11-09-2014, 09:24 AM
31. ### The probability of seeing 13 minutes past the hour at least once every day?

Each day, there are 24 opportunities in a 24 hour period to see 13 minutes past the hour. There are 60 x 24 possible times that can be reported in...

• Replies: 28
• Views: 8,462
11-08-2014, 03:40 PM
32. ### Beginning and end of rainy season. How to?

Hi all, This is a beginner's question, I apologize for that. I have taken Descriptive Statistics and I am on my why to Probability and later...

• Replies: 2
• Views: 1,527
11-08-2014, 12:54 PM
33. ### How to calculate if a mean is above chance level

Dear all, I have a problem to compare means from two groups with chance level. The Variable I want to compare against chance level is calculated...

• Replies: 2
• Views: 6,554
11-07-2014, 09:03 AM
34. ### Bayes' Priors

With a Bayes factor, when specifying priors found in previous studies, I know to use 0 as the mean p(population value given theory) when using a half...

• Replies: 0
• Views: 1,647
11-06-2014, 04:59 AM

Can ANYONE please help me solve this problem, especially part D? (Or let me know I'm going in the right direction??). The tutors at my school are...

• Replies: 1
• Views: 3,157
11-04-2014, 11:11 PM

I'm having a tough time with my online stat course. Very limited feedback from instructor and I feel somewhat on my own. Can someone assist with...

• Replies: 1
• Views: 1,356
11-04-2014, 12:56 PM
37. ### finding Confidence interval without CLT

Hi all, I searched the posts and I did not get what I wanted. so here is the question: In our Hw we are given daily sales of pastries and coffee...

• Replies: 1
• Views: 1,243
11-04-2014, 11:40 AM
38. ### Backpropagated Probabilities

To All: First, I am not sure if backproagation is the right way to define what I am looking at, but it appears to at least take the smallest...

• Replies: 2
• Views: 1,185
11-03-2014, 10:29 PM
39. ### law of total probability - variation formal names?

Hello, there are different variations of the law of total probability. For example, the probability of 3 discreet events all occurring is: A1 *...

• Replies: 1
• Views: 1,732
11-01-2014, 05:53 PM
40. ### How to find mean and variation from information given?

I am very lost, my teacher gives us a bunch of notes that make absolutely no sense to me. This is the question im stuck on: -- 41% of adults have...

• Replies: 4
• Views: 5,507
10-30-2014, 03:33 PM
41. ### Probability of survey item-responses when participants could choose multiple items

Hi there, I am trying to reanalyze some data from published research. My question is: how do you compare 2 proportions of responses, drawn...

• Replies: 0
• Views: 1,177
10-30-2014, 02:53 PM
42. ### Implications of Joint Independence

Hi, I have a question regarding the implications of joint independence. There are 3 random variables U,V and Z. (U,V) have a bivariate normal...

• Replies: 1
• Views: 1,610
BGM
10-30-2014, 12:07 PM
43. ### Combinatorics / Conditional Independence problems

Every year, 6 Irish families, represented by 4 members each, meet up and rent 3 minivans of 8 seats each to go to a big festival. In order to mix...

• Replies: 0
• Views: 1,414
10-30-2014, 02:14 AM
44. ### Normalized histograms show the same mean. Is this correct?

I have to compare the features of histograms. All the histogram are normalized and with same number of bins. This results in the same mean value for...

• Replies: 1
• Views: 1,007
10-29-2014, 10:35 PM
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: 1,585
10-29-2014, 02:57 PM
46. ### An event and its complement

My wife was overdue clearing customs so I thought the probability of her showing up any minute was increasing. But then I thought, suppose -there...

• Replies: 6
• Views: 1,968
10-28-2014, 03:22 PM
47. ### bizarre distributions

Perhaps some expert here can shine some light on the strange results I've been experiencing lately. I wanted to explore the idea of creating a...

• Replies: 0
• Views: 1,358
10-28-2014, 08:59 AM
48. ### The Probabiliy of Making it

I have 1,2,3,4,5,6,7,8,9,10,11,12 teams. Only 8/12 teams make it to the playoffs. What is the probability that 3,4,5,8,9,10 are part of the 8 teams...

• Replies: 3
• Views: 1,364
BGM
10-23-2014, 01:36 AM
49. ### Black Swans, non-normal distributions

I am looking for a reference to a popular science magazine article. The point of it was that in the real world we find populations that are...

• Replies: 2
• Views: 1,423
10-22-2014, 08:11 PM
50. ### Stats homework help NYS

New York Stock Exchange. Suppose that the percentage returns for a given year for all Stocks listed on the New York Stock Exchange follows a...

• Replies: 0
• Views: 1,331
10-22-2014, 02:20 PM
51. ### 600 hotdogs. homework help

Not quite sure how to do B or C. Thanks for the help! Jake runs the concession stand for a Chicago area minor league baseball team. He knows that...

• Replies: 0
• Views: 1,516
10-21-2014, 08:56 PM
52. ### Committee Combination

Hi. I have used the below formulation of the problem. Kindly let me know whether I am correct or wrong. Q. "A condominium management committee...

• Replies: 0
• Views: 2,247
10-21-2014, 03:20 PM
53. ### Probability of Absolute Return

Mean = 0.04% SD = 1.9% of a percentage rate of return recorded daily for one year on an asset. What is the probability of an absolute return on any...

• Replies: 0
• Views: 1,500
10-21-2014, 05:36 AM
54. ### Why this Frequency Polygon is not correct?

Hi guys! I stumbled upon this blurry question from one of my lab old exams, in statistics elective course. I will leave you to check the...

• Replies: 0
• Views: 981
10-21-2014, 02:40 AM
55. ### Finding Minimum Probability

Hi. Below is the question in my homework. I don't know whether I've to solve this using Bayes' theorem or I have to provide a general answer. ...

• Replies: 0
• Views: 1,468
10-20-2014, 02:11 PM
56. ### Bayes Probability question

Question: Yearly automobile inspections are required for residents of the state of Pennsylvania. Suppose that 18% of all inspected cars in...

• Replies: 0
• Views: 2,736
10-19-2014, 04:57 AM
57. ### Closing Difference between two numbers with confidence limits.

Company A tested its widgets and found that when they tested 10000 of them, 2010 of them failed. They tested the widgets of their competition but...

• Replies: 0
• Views: 1,128
10-17-2014, 02:26 PM
58. ### Binominal Distribution (urgent)

kindly help (or provide hints) on below question: Suppose that you pay \$1024 to enter a coin tossing game. A biased coin with head probability...

• Replies: 5
• Views: 2,519
BGM
10-16-2014, 12:48 AM

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