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Forum: Probability

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

  1. Arrow Sticky Thread 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)...

    Started by quark‎, 09-30-2005 09:44 AM
    • Replies: 0
    • Views: 30,175
    09-30-2005, 09:44 AM Go to last post
  1. Poisson Process

    I got a question. Q) Let {X(t), t>=0} and {Y(t), t>=0} be independent Poisson processes with parameter (lambda)_1 and (lambda)_2 respectively....

    Started by jjangub‎, 11-02-2010 04:20 PM
    • Replies: 2
    • Views: 3,630
    11-03-2010, 12:24 PM Go to last post
  2. Erlang

    Suppose S~Erl(n,lamda) Show that if n>1, then E(1/S) = lamda/(n-1), and if n>2, Var(1/S) = lamda^2/[(n-1)^2*(n-2) Conclude that is Y=(n-1)/S and...

    Started by welch4369‎, 11-03-2010 10:23 AM
    • Replies: 2
    • Views: 2,539
    11-03-2010, 11:18 AM Go to last post
  3. Angry help with beta distribution

    for this question How do i show that X1~Beta(a1,a2+a3) whats a hint to show this?

    Started by omega‎, 11-01-2010 09:20 PM
    • Replies: 5
    • Views: 4,230
    11-02-2010, 06:35 PM Go to last post
  4. CDF problem

    Problem - Let X be a random variable with c.d.f. F(x). Find the c.d.f. of aX + b first for a > 0, then for a < 0. (for a > 0) F(x) = P(X <= x) ...

    Started by StatStudent3‎, 10-30-2010 04:59 PM
    • Replies: 8
    • Views: 8,043
    11-02-2010, 04:24 PM Go to last post
  5. P value probabilites by hand/T chart

    Thank you for taking the time to read my query. I appreciate it. I moved my query from statistics to probability because I really didn't get an...

    Started by ealeql‎, 11-02-2010 01:59 PM
    • Replies: 0
    • Views: 4,534
    11-02-2010, 01:59 PM Go to last post
  6. Question probability-inequality

    let X_1,X_2,.... be a sequence of i.i.d. random variables each with mean 4 and variance 4. show that for large n, 0.5<P<0.9 help needed....

    Started by Sambit‎, 11-02-2010 09:23 AM
    • Replies: 2
    • Views: 2,538
    11-02-2010, 10:05 AM Go to last post
  7. Angry !!!URGENT!! convolution problem

    a signal x(t)=delta(t) is filtered by the filter f(t)=u(t)-u(t-1) multiple times. *compute and plot the result of the first and second application...

    Started by sajee3a‎, 11-02-2010 12:42 AM
    • Replies: 0
    • Views: 2,495
    11-02-2010, 12:42 AM Go to last post
  8. Exclamation change of variable help

    1. Let X~Geometric(1/4), and let Y have probability function: pY(y)= 1/6 if y=2 1/12 if y=5 3/4 if y=9 0 otherwise Let W=X+Y. Suppose X and...

    Started by omega‎, 10-31-2010 01:36 PM
    • Replies: 1
    • Views: 2,420
    11-01-2010, 07:53 PM Go to last post
  9. CDF - Cauchy distribution

    Suppose that a particle is fired from the origin in the (x, y)-plane in a straight line in a direction at a random angle theta(the symbol with the...

    Started by StatStudent3‎, 11-01-2010 04:04 PM
    • Replies: 3
    • Views: 7,329
    11-01-2010, 05:59 PM Go to last post
  10. Unhappy help me please

    Hello, I would like to know if someone can help for the question as below? Suppose that P(E) is 0 or 1, show that E is independent of all...

    Started by ms&ms‎, 10-24-2010 04:30 PM
    • Replies: 11
    • Views: 3,831
    11-01-2010, 12:25 PM Go to last post
  11. Poll Poll: Basic Probability 3

    Please help me with this question Two cards are drawn at random from a pack of cards. Find the probability that both cards are of Red Colour or...

    Started by sukumartenth‎, 11-01-2010 03:40 AM
    • Replies: 6
    • Views: 3,830
    11-01-2010, 12:06 PM Go to last post
  12. Question cdf and pdf

    consider the following cumulative distribution function F(x) = 0, x<0 =\frac{x+k}{5}, k\leq x<k+1, k=0,1,2 =1, x\geq3 find P(X=j) for all...

    Started by Sambit‎, 11-01-2010 09:53 AM
    • Replies: 9
    • Views: 3,304
    11-01-2010, 12:03 PM Go to last post
  13. Exponential Distribution Lifetime problem

    The average lifetime is 10 hours = 1/lambda Lambda = 1/10 Find the probability of 2 independent items with average lifetime >= 11 hours. ...

    Started by StatStudent3‎, 11-01-2010 09:54 AM
    • Replies: 3
    • Views: 4,909
    11-01-2010, 10:32 AM Go to last post
  14. Question problem on gamma distribution

    let X_1,X_2,......,X_n be 'n' i.i.d random variables, each following gamma (1,3) distribution. show that P(X_1+X_2+.....X_n > 3(n-\sqrt{n}) ) >...

    Started by Sambit‎, 10-31-2010 08:45 AM
    2 Pages
    1 2
    • Replies: 15
    • Views: 7,725
    11-01-2010, 07:15 AM Go to last post
  15. Poll Poll: Basic Probability 2

    Four Coins are tossed together. What is probability that HEAD will appear on at least on of the four coins?

    Started by sukumartenth‎, 10-29-2010 10:12 AM
    • Replies: 6
    • Views: 3,140
    11-01-2010, 03:28 AM Go to last post
  16. Angry help with dirichlet distribution

    I am stuck on this problem I have to prove its a density I can do it by show it by integrating it twice with respect to X2 and X1 and it...

    Started by omega‎, 10-31-2010 01:22 PM
    • Replies: 11
    • Views: 3,907
    10-31-2010, 06:15 PM Go to last post
  17. Please assist with issue

    Decide whether the experiment is a binomial experiment. If it is not, explain why. Each week, a man plays a game in which he has a 41% chance of...

    Started by davidmav19‎, 10-31-2010 03:32 PM
    • Replies: 2
    • Views: 3,010
    10-31-2010, 03:45 PM Go to last post
  18. PDF problem

    Suppose X has uniform distribution on (-1, 1). Find the PDF of Y = X^2. OK, without putting all the details... I got for F(y)...P(-square root...

    Started by StatStudent3‎, 10-31-2010 02:29 PM
    • Replies: 1
    • Views: 4,346
    10-31-2010, 03:42 PM Go to last post
  19. help with simulating distributions

    For each of the following c.d.f F, find a formula for X in terms of U, such that if U~Uniform, then X has c.d.f F. a) F(x) = 0 if x<0 x if...

    Started by omega‎, 10-31-2010 01:10 PM
    • Replies: 0
    • Views: 2,264
    10-31-2010, 01:10 PM Go to last post
  20. Distribution of the Sum of r.v.

    Guys, I will appreciate if you can give me some hints on this problem: Let X1,X2,...Xn be i.i.d with mass function f(k)= / for k>1. Find the...

    Started by Bardn‎, 10-31-2010 01:01 AM
    • Replies: 6
    • Views: 2,745
    10-31-2010, 12:00 PM Go to last post
  21. Gambler's Ruin problem

    I have a question about Gambler's ruin. Consider a Gamber's ruin with initial fortune a and b (a>10, b>10) for players I and II, respectively. Let p...

    Started by jjangub‎, 10-31-2010 10:57 AM
    • Replies: 2
    • Views: 3,587
    10-31-2010, 11:52 AM Go to last post
  22. Simulation problem

    Hi guys I am having problems calculation the theoretical mean in excel. I was told to do this by my teacher using expected value formula. Please see...

    Started by dbadboy‎, 10-30-2010 07:52 PM
    • Replies: 2
    • Views: 2,624
    10-31-2010, 05:40 AM Go to last post
  23. Interesting Bean Problem

    Good evening, I've encountered an interesting problem and need a little help with it (: Question 1A) A bean is placed in a bag. The bean is...

    Started by mysterdusk‎, 10-27-2010 07:26 AM
    • Replies: 6
    • Views: 5,416
    10-29-2010, 11:38 PM Go to last post
  24. Arrow Basic Probability

    6 Boys and 6 Girls sit in a row at random. Find the probability that the boys and girls sit alternately. Please help me with steps to calculate in...

    Started by sukumartenth‎, 10-29-2010 03:28 AM
    • Replies: 9
    • Views: 4,026
    10-29-2010, 03:58 PM Go to last post
  25. Moment Generating Function

    Hi all, I'm supposed to find the MGF of the Gamma Distribution. Here is a link to my solution:...

    Started by jamesmartinn‎, 10-27-2010 11:57 PM
    • Replies: 3
    • Views: 5,349
    10-29-2010, 01:22 PM Go to last post
  26. Estimating the number of red balls drawn

    Assume that there are N jars numbered 1 to N. Each jar contains many balls. Assume that we draw a ball from i-th jar. The probability of drawing a...

    Started by faraz123‎, 10-28-2010 04:25 PM
    • Replies: 4
    • Views: 3,729
    10-29-2010, 02:29 AM Go to last post
  27. Uniform Dist

    Suppose X,Y are uniformly distributed over the unit circle. Let R = sqrt(X^2 + Y^2) and theta=arctan(Y/X). What is the joint pdf of (R, theta)?...

    Started by statsguy‎, 10-26-2010 06:52 PM
    • Replies: 1
    • Views: 5,635
    10-28-2010, 07:24 AM Go to last post
  28. Questions I Missed

    When sampling is done for the proportion of defective items in a large shipment, where the population proportion is 0.07, and the sample size is 200,...

    Started by randomness‎, 10-27-2010 10:33 PM
    • Replies: 3
    • Views: 3,903
    10-28-2010, 06:07 AM Go to last post
  29. Transition Probability Matrix

    The 6 faces of a fair die are marked with the numbers 1,2,3,4,5,6. We roll the die repeatedly and independently, noting the numbers that come up. We...

    Started by welch4369‎, 10-27-2010 02:17 PM
    • Replies: 3
    • Views: 7,506
    10-27-2010, 09:32 PM Go to last post
  30. Please help me with this problem

    The random variable x represents the number of boys in a family of three children. Assuming that boys and girls are equally likely, find the mean and...

    Started by davidmav19‎, 10-27-2010 06:21 PM
    • Replies: 13
    • Views: 6,271
    10-27-2010, 09:12 PM Go to last post
  31. Chebshev Inequality

    Hi! I have the following problem: Suppose X ~ Poisson (Lambda). Show P(X > 2lambda) =< 1/lambda So I wrote out Chebshev's by definition: ...

    Started by jamesmartinn‎, 10-27-2010 03:30 PM
    • Replies: 0
    • Views: 2,404
    10-27-2010, 03:30 PM Go to last post
  32. Jump Discontinuities in CDF's

    There aren't any examples of cumulative distribution functions with discontinuities in my textbook. I'm wondering what to do with something like...

    Started by math_guy314‎, 10-23-2010 09:59 PM
    • Replies: 4
    • Views: 6,038
    10-27-2010, 12:33 PM Go to last post
  33. Hypergeometric, Binomial, & Integration

    I need a lot of help with a few difficult problems. Is anyone here a tutor? I am willing to pay.

    Started by kwicherbichen‎, 10-26-2010 09:22 PM
    • Replies: 0
    • Views: 2,240
    10-26-2010, 09:22 PM Go to last post
  34. Poisson/Phone Call question...

    Hopefully, this is my last question before my exam tomorrow at 2pm... Phone calls arrive at a rate of 1 per second(the mean = 1/lambda). Find...

    Started by StatStudent3‎, 10-26-2010 05:59 PM
    • Replies: 2
    • Views: 3,433
    10-26-2010, 06:54 PM Go to last post
  35. Probability of 2 Heads Question

    I came across an interesting and counter-intuitive problem in my statistics course recently and wanted to share it with you guys to see if you could...

    Started by Link‎, 10-26-2010 10:59 AM
    • Replies: 12
    • Views: 2,999
    10-26-2010, 03:14 PM Go to last post
  36. Continous distribution question

    X ~ Uniform(0, 10). Find the distribution of Y = 3X + 5 I saw this in my classnotes, but my prof didn't do this during one of the lectures. ...

    Started by StatStudent3‎, 10-26-2010 01:20 PM
    • Replies: 1
    • Views: 2,442
    10-26-2010, 02:11 PM Go to last post
  37. Probability of 4 of n shots hitting.

    Hello. First timer here, hopefully you guys can help me! First of all, let me say that this is not a homework problem of any sort, it's for a...

    Started by BAUSTIN‎, 10-26-2010 09:04 AM
    • Replies: 6
    • Views: 3,724
    10-26-2010, 01:18 PM Go to last post
  38. Question about finding sum of 3 largest rolls of die

    The S sum of all 4 rolls = 14 The E(M) minimum value of 4 rolled die is 1.755 The example here my professor worked out for the Expected Sum of...

    Started by StatStudent3‎, 10-25-2010 11:45 PM
    • Replies: 2
    • Views: 3,238
    10-26-2010, 12:21 PM Go to last post
  39. Poisson - question how in setting this up

    Not asking how to do it, but setting this up I'm having trouble with. Suppose 2,000,000 raindrops land on a roof every second. The area of the...

    Started by StatStudent3‎, 10-26-2010 11:21 AM
    • Replies: 2
    • Views: 2,372
    10-26-2010, 12:12 PM Go to last post
  40. Question Cumulative Distribution Function

    Please help me, I have 2 cases: 1. n is positive constant and defined by function f(x)=1/2.n.e^(-n.x) if x>=0 and f(x)=1/2.n.e^(-n.x) if x<0....

    Started by statjunior‎, 10-19-2010 10:59 PM
    • Replies: 8
    • Views: 10,152
    10-26-2010, 01:37 AM Go to last post
  41. Question help randoooomly chooooose

    Hello Everyone, I have :confused: question: Define ni to be the number of families with i children, i = 1,2,3,…..,k. Define E to be the event...

    Started by ms&ms‎, 10-25-2010 02:11 PM
    • Replies: 4
    • Views: 3,495
    10-25-2010, 05:32 PM Go to last post
  42. Name of this density function

    f(x|theta) = (1+theta)*x^(theta) , where x is in and theta > -1 Hey! I am just trying to figure out which distribution this density function is....

    Started by welch4369‎, 10-25-2010 02:52 PM
    • Replies: 2
    • Views: 2,452
    10-25-2010, 03:16 PM Go to last post
  43. Line Segment Probability

    Question: Divide the line segment into 3 parts by selecting 2 points at random from . Find the probability that the largest part is at least 2...

    Started by bcastillo‎, 10-25-2010 02:12 PM
    • Replies: 0
    • Views: 3,503
    10-25-2010, 02:12 PM Go to last post
  44. Variance of the sample variance

    I am looking to compute the variance of the sample variance. I found a site that does this for the biased sample variance (i.e. 1/n rather than...

    Started by kogan.clark‎, 10-22-2010 10:59 AM
    • Replies: 2
    • Views: 8,251
    10-25-2010, 10:39 AM Go to last post
  45. Probability split deck of cards

    Hi there, I've been stuck in this problem for some time, id be helpful if someone help me shed some light on it. Say we split a deck of 52 shuffled...

    Started by tnoni‎, 10-24-2010 05:42 AM
    • Replies: 3
    • Views: 6,008
    10-25-2010, 05:51 AM Go to last post
  46. Expected value

    Hi, can someone please have a look at my answer? Thanks In advance. A patient presents to you for a consultation regarding a choice between...

    Started by SadieKhan‎, 10-25-2010 04:35 AM
    • Replies: 0
    • Views: 2,730
    10-25-2010, 04:35 AM Go to last post
  47. How do I simplify this?

    (b / (b + w) ) * ((b-1) / ((b-1) + w)) * ((b-2) / ((b-2) + w)) * ((b-3) / ((b-3 + w)) the problem pretty much states without replacement, the...

    Started by StatStudent3‎, 10-24-2010 09:11 PM
    • Replies: 2
    • Views: 3,839
    10-24-2010, 10:58 PM Go to last post
  48. Sequence of chess games

    Person A and Person B play a sequence of chess games. S=(A wins a game) and the outcomes of the successive games are independent with P(S)=P(F)=0.5...

    Started by gator78‎, 10-19-2010 08:28 PM
    • Replies: 9
    • Views: 5,682
    10-24-2010, 07:25 PM Go to last post
  49. PDF problem, a rather complex one

    This isn't a homework problem, but a review problem my prof gave us for the test on Wed... A fair die is rolled. Let X be the highest power of 2...

    Started by StatStudent3‎, 10-24-2010 03:29 PM
    • Replies: 1
    • Views: 3,104
    10-24-2010, 03:33 PM Go to last post
  50. Events A and B with complements

    Hi all, I will show the quest first and my work after. Given: P(A) = 0.3, P(B) = 0.8, P(AUB) = 0.9 A) Find P(A|B), P(A'nB), P(B'UA') B)...

    Started by Tjvelcro‎, 10-24-2010 12:48 PM
    • Replies: 1
    • Views: 20,594
    10-24-2010, 01:39 PM Go to last post
  51. how do u work out this problem?

    Hi There, there is one problem that is killing me. I will appreciate any help. From what Ive learnt so far it relates to Binomial distribution. ...

    Started by bennym‎, 10-24-2010 10:37 AM
    • Replies: 1
    • Views: 3,962
    10-24-2010, 11:12 AM Go to last post
  52. Condtional Probability

    edit: got it.

    Started by statsguy‎, 10-23-2010 05:28 PM
    • Replies: 1
    • Views: 1,844
    10-23-2010, 10:31 PM Go to last post
  53. Chebyshev's Inequality

    We recently had a test question (that I got counted correct) but which I feel like my answer is inadequate. We were told to use the Chebyshev's...

    Started by math_guy314‎, 10-23-2010 06:15 PM
    • Replies: 2
    • Views: 3,778
    10-23-2010, 08:37 PM Go to last post
  54. Normal Approx problem(u, Var)

    This is a homework problem from last week - I had it figured out last week before I turned it in(and the answer in the back of the book confirmed...

    Started by StatStudent3‎, 10-23-2010 01:02 PM
    • Replies: 3
    • Views: 7,319
    10-23-2010, 02:31 PM Go to last post
  55. Lottery

    15. A group is selling 1000 raffle tickets. The winning ticket gets $50,000. a. If tickets are given away for free, what is the Expected Value...

    Started by SadieKhan‎, 10-22-2010 03:40 PM
    • Replies: 6
    • Views: 3,482
    10-23-2010, 07:19 AM Go to last post
  56. Demorgans?

    I have to show the following hold. i) (A U B)' = A' & B' ii) (A & B)' = A' U B' Can someone verify if this thinking is correct? i) x is...

    Started by jamesmartinn‎, 10-17-2010 08:48 AM
    • Replies: 2
    • Views: 2,391
    10-22-2010, 06:31 PM Go to last post
  57. Bayesian inference -(unknown mean and variance | and a proof)

    hello, i take a bayes lesson. there are 3 questions as my homework, i did one of them. i am new to statistics, so instructor said i can get help as...

    Started by aliyilmaz‎, 10-22-2010 09:47 AM
    • Replies: 4
    • Views: 5,065
    10-22-2010, 05:07 PM Go to last post
  58. standard deviations in scatter plots

    I am working with data that involves blood volumes in the heart according to gestation. I have plotted these values using a twoway scatter graph. I...

    Started by jeantrines‎, 10-22-2010 12:35 PM
    • Replies: 1
    • Views: 6,598
    10-22-2010, 01:16 PM Go to last post
  59. converges almost surely

    I need to use this lemma for my prove, and I dont know how to prove this lemma. "X_n \rightarrow 0 a.s iff for all \epsilon > 0, P(|X_n| > \epsilon...

    Started by tup‎, 10-22-2010 01:08 PM
    • Replies: 0
    • Views: 2,671
    10-22-2010, 01:08 PM Go to last post
  60. converges in prob

    Let X_1, X_2, ... be independent with P(X_n = 1) = p_n and P(X_n = 0) = 1- p_n. Show that (i) X_n \rightarrow 0 in probability iff p_n \rightarrow 0,...

    Started by tup‎, 10-22-2010 10:04 AM
    • Replies: 2
    • Views: 2,159
    10-22-2010, 12:39 PM Go to last post

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