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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: 30,331
09-30-2005, 09:44 AM

a basketball player has a 40% chance of making a 3 point shot. if the player tries n=12 three pintshots, what is the probability that he makes...

• Replies: 1
• Views: 4,346
02-05-2011, 01:59 AM
2. ### 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
3. ### empirical distribution

Let (x1, …, xn) be iid random variables with the common cdf F(x). The empirical distribution is defined as F_n(x) = P_{Fn}(X<x) = \frac{1}{n}...

• Replies: 1
• Views: 3,476
02-04-2011, 03:09 PM
4. ### red/white balls, distinct values X1,...,Xn

There are (2n-1) choose (n-1) ways that n-1 red balls can be put in a line with n white balls. Can someone explain why? Thanks.

• Replies: 1
• Views: 2,456
02-04-2011, 03:03 PM
5. ### Equity Trading Probability Question

Hi Talk Stats, I'm an equity trader who is testing a new strategy. So far, we have succeeded on 72 of 103 trades, or a success rate of 69.90%. ...

• Replies: 2
• Views: 2,285
02-03-2011, 04:06 PM
6. ### Probability of Victory

Say I was looking at how all 14-seeds performed against 3-seeds over several years of the NCAA Basketball Tournament. And say I had several stats at...

• Replies: 4
• Views: 3,426
02-03-2011, 01:14 AM
7. ### Bivariate Normal + Max Transformation

Hi guys, This exercise is driving me crazy. That is: (X,Y) follows a normal bivariate distribution E = E = 0 E = E = 1 E = r I have to...

• Replies: 3
• Views: 4,082
02-02-2011, 05:25 PM
8. ### Finding joint density

Let Y1 ~ N(1,3) & Y2~N(2,5) be independent random variables. Find the joint density of W1 and W2 if W1 = Y1 +2Y2 and W2=4Y1-Y2. How should I...

• Replies: 2
• Views: 2,727
02-01-2011, 12:14 PM
9. ### Joint density. Help!

Let x and y have the joint density: f(x,y) = 6/7(x+y)^2 for 0<=x<=1 and 0<=y<=1 a.Find the marginal densities of X and Y. . b.By integrating...

• Replies: 1
• Views: 6,790
BGM
01-31-2011, 03:01 AM
10. ### A question on probability

Let X_1, X_2, \ldots, X_{10} be a random sample from N(80, 3^2) distribution. Define S = \sum_{i=1}^{10} U_i T = \sum_{i=1}^{10}\left(...

• Replies: 9
• Views: 2,898
01-30-2011, 11:56 PM
11. ### Independence of Bivariate Continuos RV's.

By the two definitions of independence for bivariate continuous RVs: (1) F(x,y)=F_X(x)F_Y(y) and (2) f(x,y)=f_X(x)f_Y(y). Prove that these two are...

• Replies: 8
• Views: 3,570
01-30-2011, 11:44 PM
12. ### Joint cdf/pmf- Multinomial Distribution.

I'll really appreciate if somebody could take time to explain the following question's answer. Suppose that (N1, N2) is multinomial with n=2,...

• Replies: 4
• Views: 6,970
BGM
01-30-2011, 11:41 PM
13. ### log-normal distribution and financial derivatives

Please, help. Tis problem has almost taken all of my living forces away. The problem touches upon the pricing the structured product. The data given...

• Replies: 0
• Views: 2,974
01-30-2011, 04:31 PM
14. ### Open courseware?

Hello all, I am in need of practice probability/stats questions (at the introductory-intermediate level). Does anybody know of any links (perhaps...

• Replies: 1
• Views: 2,227
01-30-2011, 03:45 PM
15. ### Discrete Functions and pmf/cdf.

Suppose that X is discrete with pmf p(0)=p(1)=2p(2) (and zero otherwise). Find the pmf and cdf of X. How would you simulate the random variable X...

• Replies: 0
• Views: 3,330
01-30-2011, 02:48 AM
16. ### Joint and Marginal Densities.

I am having some problems grasping the concept of these joint and marginal densities. It would really help if someone could provide me with an answer...

• Replies: 1
• Views: 6,071
BGM
01-30-2011, 02:28 AM
17. ### Inquiry

Q. A certain gene is necessary for certain protein synthesis in human beings. A new kind of test can detect the gene in people who have the gene...

• Replies: 2
• Views: 2,318
01-28-2011, 09:44 PM
18. ### Probability of being removed

Hi, There are 5 balls in a bag. 4 white and 1 Red. Assume that each color is equally likely to be removed. Now 4 balls are removed. What is the...

• Replies: 1
• Views: 2,832
BGM
01-27-2011, 12:29 PM
19. ### CLT problem

Let X_1,X_2,...X_n be a sequence of independent random variables. Suppose for k=1,2,3,.... P(X_{2k-1}=1)=P(X_{2k-1}=-1)=\frac{1}{2} and the pdf of...

• Replies: 2
• Views: 3,057
01-26-2011, 01:59 AM
20. ### Help with stats assignment

An airline knows that 5 percent of the people making reservations on a certain flight will not show up. Consequently, their policy is to sell 52...

• Replies: 2
• Views: 5,334
01-26-2011, 12:13 AM
21. ### Quantiles for the Wishart distribution

1234567890

• Replies: 1
• Views: 4,167
BGM
01-25-2011, 02:26 PM
22. ### Binomial and exponential distribution?

Hi everyone. Could you help me with these two following problems: 1. A machine normally makes items of which 4% are defective. Every hour, the...

• Replies: 1
• Views: 5,255
01-25-2011, 04:32 AM
23. ### Matching sets on Dice

For those of you who know dice, I have this question: You roll multiple dice (with the same number of sides), what are the chances of getting...

• Replies: 6
• Views: 5,080
01-25-2011, 01:05 AM
24. ### 99% Confidence Interval

Hi Guys, I'm stuck and need a little help on this one. I have calculated mean: 74.40 and Std Dev: 12.251 from Population 262, Sample 103. I...

• Replies: 3
• Views: 5,522
01-23-2011, 05:15 PM
25. ### Help with stats assignment?

hi brainy people , i have a stat assignment due tomorrow and im stuck on a question: The gambling game Crown and Anchor uses special dice with...

• Replies: 0
• Views: 2,332
01-22-2011, 09:12 PM
26. ### Mgf

Let X and Y have the following joint probability distribution:- P(X=x,Y=y) = \frac{e^{-2}}{x!(y-x)!} , x=0,1,2,...,y ; ...

• Replies: 4
• Views: 2,282
01-21-2011, 08:43 AM

Hey all, I'm currently a stats student and i have run into confusion about some questions pertaining to probability. I have attempted the following...

• Replies: 14
• Views: 4,689
01-20-2011, 12:06 PM
28. ### 19 lowercase letters + 1 single digit number = possible combinations ?

Hi everybody and happy new year too all :tup: I've just discovered this forum today and I have one thing to say : AWESOME ! :) I have trouble...

• Replies: 10
• Views: 7,383
01-20-2011, 03:42 AM
29. ### Distribution and modeling of TV ad views

An advertiser can show his ad in several different time windows on TV. For each time window the number of viewers who have their TV turned on...

• Replies: 0
• Views: 2,399
01-20-2011, 01:59 AM
30. ### hypothesis testing difference in means between simulated values

Hi all, I am working with a demographic data set that consists of three separate transition matrices. I have simulated growth from an initial...

• Replies: 0
• Views: 2,652
01-19-2011, 02:45 PM
31. ### Simple Probability

“ Dr. Brown and Dr. Chen each have 2 patients. At least one of Dr. Brown’s patients is male, and Dr. Chen’s first patient is male. Assume that the...

• Replies: 3
• Views: 2,427
01-19-2011, 02:44 PM
32. ### Why can't I use the transformation...

Why can't I use the transformation equation fy(y)=fx(x(y))AbsoluteValue to solve this problem: An actuary is reviewing a study she performed on...

• Replies: 4
• Views: 2,676
01-19-2011, 01:39 AM
33. ### MAGIC- random playing card at random position- other tricks as well

I'm a magician- I'd like to be able to tell the spectators the chances of the outcomes that occur in some routines that I do. here is the...

• Replies: 0
• Views: 3,347
01-18-2011, 02:01 AM
34. ### how many degrees of freedom do I need to make a Root Sum Square valid?

If I have two errors, that seems on the low end for using RSS. If I have a hundred, I feel pretty comfortable. I'm having trouble finding math...

• Replies: 0
• Views: 4,613
01-17-2011, 03:43 PM
35. ### Chess probability of winning

I've gotten into Chess recently with this app on my iphone and its gotten me thinking...has anyone worked with statistical algorithms for chess...

• Replies: 3
• Views: 6,897
01-17-2011, 03:11 PM
36. ### classical probability question...

Hello to all experts, I need help with this, I am lost... A manager of an IT company gives randomly 8 projects to 4 teams, with equal...

• Replies: 1
• Views: 2,625
01-16-2011, 02:51 PM
37. ### Negative Binomial ?

Hi Guys, I need a little bit of guidance with this one... 2 balls are being drawn randomly from an urn containing 7 black balls, 3 white balls...

• Replies: 1
• Views: 2,763
BGM
01-16-2011, 12:13 PM
38. ### Another Negative Binomial ?

I am afraid I have another one from the same kind... 20% of the forms being submitted in a government office contain a mistake in them. Someone...

• Replies: 0
• Views: 1,955
01-16-2011, 10:59 AM
39. ### Probability that a set of numbers is non-random?

Hello, I'm wondering if anyone knows the answer to this: For a set of X numbers with a median of Y and a standard deviation of Z, where a set...

• Replies: 1
• Views: 4,104
01-16-2011, 07:21 AM
40. ### Probability Question

Hi Guys, I'm a novice at probability and would be very appreciative of some assistance with this question: If Company A (car manufacturer)...

• Replies: 5
• Views: 3,946
01-14-2011, 04:21 AM
41. ### confidence interval calculator

Hello good people. I have a number of websites and would like to know how confident I can be with my click through rate. (clicks/ impressions) ...

• Replies: 1
• Views: 4,812
BGM
01-13-2011, 01:18 PM
42. ### Conditional Probability

Hello, I have a question in probabilty. 100 Individuals. 40 with work experience, 30 with certificates and 20 with both work ex and...

• Replies: 1
• Views: 3,346
01-12-2011, 11:29 PM
43. ### Problem with binomial distribution

Hi. I have a problem concerning binomial distribution that I don't quite understand how to solve. The problem is this: X ~ Bin(5, 0.1) and I...

• Replies: 2
• Views: 3,744
01-12-2011, 05:19 PM
44. ### Normal distribution question

X is normally distributed with mean 100 and variance 81. What is the probability that X will lie between 88 and 112? Here is my approach:...

• Replies: 7
• Views: 4,477
01-12-2011, 05:28 AM
45. ### Need help for interpreting the simulation results...

Hi all, I performed a simulation study on R for bootstrap, permutation and classic version of hotelling T^2 test, Goodall F , and James T test ...

• Replies: 0
• Views: 2,174
01-11-2011, 08:24 AM
46. ### P value interpretation

I'm reviewing a report where two populations were compared using a two-tailed T test. I am wondering if this sentence is true: For example, a P...

• Replies: 3
• Views: 5,971
01-10-2011, 05:02 PM
47. ### Urn with balls

Hi guys, I have a question, I have also the answer, just don't understand it... In an urn there are 2 red balls numbers 1,2, and also 2 blue...

• Replies: 1
• Views: 2,938
BGM
01-09-2011, 01:58 PM

Hi, Can you please check my answers? Thanks 1) In examining borrower characteristics versus loan delinquency, a bank has collected the following...

• Replies: 0
• Views: 4,376
01-09-2011, 06:27 AM
49. ### M.g.f for Poisson distribution

Hello, I am having trouble understanding the maths between E(e^{tx}) where I get a summation from 0 to \infty and the m.g.f for Poisson...

• Replies: 2
• Views: 33,630
01-07-2011, 01:55 PM
50. ### Stochastic process, empirical CDF, probability for bound

From what I understand, a stochastic process is a family of random variables, each of which follows some probability distribution. Now, let's...

• Replies: 2
• Views: 4,653
01-07-2011, 12:56 PM
51. ### Normal Probability Distribution

In 2010, the population of SAT scores were normally distributed with a mean of 1020 (reading and math only) and a standard deviation of 200. The NCAA...

• Replies: 2
• Views: 5,453
01-06-2011, 07:49 PM
52. ### 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
53. ### Problem of ball & buckets (# balls, # buckets and # max. capacity per bucket)

I need to resolve the following problem: There are 6 buckets and each bucket can hold a maximum of 16 balls (it could be 0 to 16 balls with equal...

• Replies: 0
• Views: 3,751
01-05-2011, 11:54 PM
54. ### Looking for a sequence of functions that satisfies Fatou's lemma strictly

Can anyone suggest a sequence of functions that satisfies the inequality in Fatou's lemma strictly?

• Replies: 1
• Views: 3,597
BGM
01-05-2011, 05:09 AM
55. ### Prove if normal distribution is compact using characteristic function and moments

Hi everybody, I have this question about "Prove if normal distribution is compact using characteristic function and moments". First of all...

• Replies: 0
• Views: 3,361
01-04-2011, 05:57 PM
56. ### Multivariate conditional probability

Hello all, I'm having a difficult time finding an equation that will give me the conditional probability of a specific scenario occurring. To...

• Replies: 6
• Views: 5,592
01-04-2011, 11:16 AM
57. ### percentile for (1 - cumulative distribution function)

Hi, Before addressing my question, please let me define the context: The percentile is usually defined as the value of a variable BELOW which a...

• Replies: 4
• Views: 13,008
01-04-2011, 10:09 AM
58. ### problems with MGF

Here are 2 similar kind of problems regarding MGF. So I'm posting on the same thread. Hope there is no problem. 1)MGF of a rv is given by...

• Replies: 1
• Views: 4,422
BGM
01-04-2011, 10:08 AM

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