Stats Definition and 227 Threads

Homework Statement Consider X(1)...X(n) IID X~ Poisson(lambda=lnQ), x=0,1,2..., Q >1 Find the Unique MVUE for lnQ? Homework Equations The Attempt at a Solution i let T=sum(x), which is sufficient and lnQ*=sum(x)/n be an unbiased estimator for lnQ Not really sure how to...

Homework Statement Chp 18, Rev Ex 4 A coin is tossed 25 times. Estimate the chance of getting 12 heads and 13 tails. Chp 16, Rev Ex 8 A gambler will play roulette 50 times, betting a dollar on four joining numbers each. If one of these four numbers comes up, she gets the dollar...

hey guys/gals i have been given this cw question however i spent ages and can't seem to get my head around it can some one give me a hand " the number N of wrecks in a particular area of sea off the Cornish coast has a poisson distribution with mean \propto . the probability that a wreck is...

Hello all, I'm a senior Electrical Engineering student at Wright State University in OH and I'll be graduating in March 2011 with my BSEE degree. I've come to the conclusion that my main area of passion and interest is in power systems and power generation so I'd like to do a masters...

Hello friends, I am having some trouble with a particular statement an author made in a book. Despite being a statistics question, it is at its heart, a calculus question. Perhaps someone here with a better understanding of the subject can help, because I'm not convinced the matter has...

Any free books about nuclear reactor stats?

Homework Statement Let A_1, A_2... be any infinite sequence of events, and let B_1, B_2... be another infinite sequence defined as B_1=A_1, B_2=A_1cA_2, B_3=A_1cA_2cA_3 and so on. Prove that Pr(Union i=1 to n A_i) = Sum i=1 to n Pr(B_i). (sorry if that notation is hard to understand)...

so I'm somewhat new to statistics proofs, but this one is for the most part a sets proof, which i can do. I'm having trouble connecting them. (c = complement)(AB = A intersect B) Let A_1, A_2... be any infinite sequence of events, and let B_1, B_2... be another infinite sequence defined as...

Homework Statement Suppose that X1,...,Xn form a random sample from a inform distribution on the interval [0,1] and that the random variable Ynmax{X1,...,Xn}. Determine the smallest value of n such that Pr[Yn≥.99]≥.95 Homework Equations W=Yn-Y1 where W is the range of the sample...

I was recently accepted into engineering science 1t4. I am very intrigued by the new finance option being offered but don't have a lot of information about it. I've seen the statement on the u of t website but honestly that doesn't help very much. I would appreciate it greatly if someone with...

I have this residual vs fitted values plot in R, and it should show a scatter of points with constant variance and mean 0. The mean 0 part seems to hold, but there is quite a clear diamond shape for the variance... I have tried raising the response variable to a power <1 and a log...

I am have trouble with a question, and how exactly each given part of this question relates to getting the answer. [b]1. The problemb] Assume that N,X1, X2...are independent. Let P(N = k) = qk-1p , k\geq1, p+q = 1 and let X1,X2,X3,...be iid with a common pdf f(x)...

Well what are your opinions? Would not having a solid grounding in statistics be more useful than a solid knowledge of the applications of econometrics?

Homework Statement Suppose x = (x1, x2, ..., xn)T ∈ Rn is a random vector drawn from the n-dimensional standard Gaussian distribution N(0, I), where 0 = (0, 0, ..., 0)^T (0 vector transpose) and I is the identity matrix. (a) What distribution does ||x||^2 follow? Justify your answer. (b) On...

Hi I am doing a research project on how maths can be used to maximise profit and was wondering if anyone knows any examples applications of probability used to maximise profit. E.g. banks insurance etc? Thanks

Does anyone know any math/stat/operations research grad schools accepting students for PhD in math/stat or MS in financial engr/operations research in the spring semester?

To those familiar with university structure, mine offers two different statistics courses (besides those that are offered to fields like soc. or bio. which are not open to non majors). One is offered by the statistics department, one by the math department. Is there a generalized difference...

Homework Statement Suppose that one year, an insurance company incurred dollar damages, X, in four different amounts with probabilities, p(x), shown below: X 0 1000 5000 10000 p(x) 0.7 0.2 0.08 0.02 If the company offers a $500 deductable and wants and wants an...

Homework Statement Having problems solving some questions for Statistics class The amount of time spent by North American adults watching TV per day is normally distributed with a mean of 6 hrs and a standard deviation of 1.5hrs. a. What is the probability that a randomly selected North...

Homework Statement Let X denote the lifetime of a radio, in years, manufactured by a certain company. The density function of X is given by f(x)=\left\{\stackrel{\frac{1}{15}e^\frac{-x}{15}\ \ \ \ if\ 0\ \leq\ x\ <\ \infty}{0\\\\elsewhere} What is the probability that, of eight such...

I have a problem which I can't figure out how to do. Can you please explain how to do it. 1) Six 6 trees are randomly selected from an orange grove. Assume the median yield in the entire grove is 2.8 boxes per tree. What is the probability that the yields from 4 of the 6 trees will exceed...

Hello, I am looking at the stats for a particular academic test: - In 2007, 11 women out of 50 candidates took the test; there were only 3 women among the 16 successful candidates. - In 2009, 12 women out of 52 candidates took the test; there was only 1 woman women among the 14 successful...

Homework Statement 10P8 Homework Equations The Attempt at a Solution 2 1,814,400 3,628,800 80

Homework Statement i didnt know which forum stats is posted in so i posted it here, but the problem says the q is , Sheilas measure glucose level one hour after a sugary drink varies according to the normal distribution (u= 125 mg/dl) and r=10 mg/dl. What is the level L such that there is a...

Homework Statement A function f( x ) had the following form : f ( x) = kx^-(k+1) where 1 < x < infinity a) for what values of k is f a pdf ? Homework Equations See attachments (the theorem is included) The Attempt at a Solution started out by using the first equation in the...

I am an incoming sophomore that is majoring in math and having a potential interest in studying physics along side. Right now, I'm trying to take one more class alongside of physics (first year), abstract algebra, and history (for grad requirement). So far, I found these three courses to be...

Homework Statement Find Z0 such that P(z > z0) = 0.1234 Homework Equations The Attempt at a Solution Z is the mean which is 0. So if Z0 is less than the mean it should be a negative number. Looking at the table 0.1234 does not show up but the closest is 0.1217 which is 0.31. So Z0...

Hi, Why is -BEi used instead of +BEi as the lagrange multiplier for indistinguishable particles? How is it justified? I've been reading a book about statistical mechanics and it introduces lagrange multipliers first for distinguishable particles- it has ln(ni) + a + BEi = 0. (where a is...

Following online programs are freely available for math enthusiasts 1. Graphing Rectangular 2D 2. Graphing Rectangular 3D 3. Graphing Polar 4. Graphing 2D Parametric curves 5. Graphing 3D Parametric curves 6. Graphing 3D Parametric surfaces 7. Finding Area under curve (Rectangular)...

-I have no clue where to start- -------------------------------------------------------------------------------------- A roadway construction process uses a machine that pours concrete onto the roadway and measures the thinckness of the concrete so the roadway will measure up to the...

Homework Statement The question is Let Y be a continuous random variable with pdf f_Y(y) = 3(1-y)^2 and I have to find P(|Y - 1/2| > 1/4) Homework Equations Is there a formula involved here or something that can help me? The Attempt at a Solution I'm not even sure how...

Hi everyone, I just started stats and had a question. Question: The accompanying specific gravity values for various wood types used in construction appeared in the article "Bolted Connection Design values based on Eurpoean yeidl Model" .31 .35 .36 .36 .37 .38 .40 .40 .40 .41 .41 .42 .42 .42...

I'm currently in grade 12 physics. For my summative project in the class (which is worth a large part of my final mark) I have to think of three separate ways to divert a large asteroid away from hitting earth. We were each given a real object and stats on the object. My first problem is that...

There isn't a course at my university for Bayesian stats, but I was wondering if it would be possible to teach myself. Does anyone know of any good intro texts or online resources for leaning Bayesian Statistics? Also I want to learn to use R some over the break. Does anyone know of any good...

How many ways can five people, A, B, C, D, E, sit in a row at a movie theater if D & E will not sit next to each other? If everyone "would" sit next to each other, then it'd just be 5! or 120. However, without actually drawing out a picture, I'm not sure exactly how to work the problem with...

Homework Statement If X is a discrete random variable with p.d.f. f(x) = {cx if x=1,2,3,4 ; 0 otherwise} where c is a constant. Find P(1< X =< 3.5) Homework Equations I solved for c: f(x) = 1 = c(1+2+3+4) 10c = 1 c = 1/10 The Attempt at a Solution I have the following solution...

I have no experience in stats and I was wondering if this problem can be solved using stats instead of creating a java program. Can someone please help me. I am trying to find out how many 4 digits numbers exist that have the same digit repeated in that number twice. And how many 4 digits...

Hello All, I have a problem that goes like this:I have one fair coin and one double heads coin. I pick one at random and flip the same coin three times. All three times it comes up heads. What is the probability that this same coin will come up heads a fourth time? I said that the prob...

Homework Statement Suppose that we are testing H_0: \mu =\mu_0 versus H_1: \mu \neq\mu_0. Calculate the P-value for the following observed values of the test statistic. a: z_0 =2.45 e: z_0=-0.25 Homework Equations none The Attempt at a Solution I got part a by using the...

I have a quick question regarding a stats problem in my girlfriend's text. It is pretty easy I suppose, but I am not quite sure; the text does not appear to give a "general form" of how to obtain the info. Feel free to correct me if I misuse words here, I am not familiar with the stats lingo...

It's time for me to start deciding if I should head the applied mathematics route or statistics route. I know the applied mathematics program at my school is is on par with others but I'm not sure about the statistics program. I do not know much about other school's statistics programs, so I...

Hi. At the moment in class we are going over statistics Anyway, the formula I've been using for covariance between two sets of data is: s_{xy} = \frac{1}{n}\sum\limits_{i = 1}^n {x_i y_i } - \overline x \overline y Now, if i was to get a question such as: "If all the...

I'll get right to it. I've been looking for a Calculus based Physics textbook to self-study over summer, so far I've already taken an algebraic based AP Physics course (this book: https://www.amazon.com/dp/0136119719/?tag=pfamazon01-20 But I didn't like Giancoli's book a whole lot, it...

[Solved]Stats question regarding mean Homework Statement Yo.Exam marks,X've mean 70 and standard deviation 8.7.The marks need to be scaled using the formula Y=aX+b so that the scaled marks,Y've mean 55 and standard deviation 6.96.Find the values of a and b.*From the answer sheet -to form...

Hello, I am a new user here. Before I go any further I would like to say "hi" to all members. Now on with the post (and I hope I have chosen the right forum). I am a bit of a philospoher and am a "determinist" ie. believe that my actions and thoughts etc are basically a product of the forces...

Homework Statement Suppose that P(A) = 0.8 and P(A or B) = 0.9 , determine P(B) If a) A and B are independent b) A and B are mutually exclusive Homework Equations for Independence P(A and B) = P(A) x P(B) for Mutually Exclusive P(A or B) = P(A) + P(B) The Attempt at a Solution...

http://arxiv.org/Stats/hcamonthly.html the arxiv stats graph research output trends by field. they just updated for yearend 2006

3) Which of the following are consequences of the Central Limit Theorem? I) A SRS of resale house prices for 100 randomly selected transactions from all sale transactions in 2001 (in Toronto) will be obtained. Since the sample is large, we should expect the histogram for the sample to be...

Suppose x is a discrete, binomial random variable Calculate P(x > 2), given trails n = 8, success probability p = 0.3 and given trails n = 6, success probability p = 0.1

given trails n = 6, success probability p = 0.1