# probability

1. ### A question in order statistics of continuous type distribution

Let X1,X2,… be a sequence of random variables from a continuous type distribution and m and n be two integers such that m<n, and 2≤n−m. How can I show the probability that the third-order statistic of X1,…,Xm is equal to the fifth-order statistic of X1,…,Xn is 6⋅(n−5 m−3)(n m)?
2. ### Limit in probability of (x-bar)^2 ?

Anyone have any idea how to prove or show what the limit in probability of (x-bar)^2 is? sample is drawn from CDF F(x)=1-x^-4
3. ### How to determine distribution with no parameters

I'm confused by this question and I was hoping for some guidance some one to point me in the right direction Let X1.........Xn be a random sample from a population with mean μ, that is E(Xi)=μ for all 1≤i≤n. Define Yi=1 if Xi<μ and Yi=0 otherwise a) Determine the distribution of...
4. ### Event Tree Probability Question

Event Tree Probability Question. One has tried looking this one up and Googling it, One is also dispraxic so while math can be tricky if one can get the concept and explanation behind something generally work at it until one understands. However, it has to be repeatedly gone over otherwise...
5. ### Reason for your degree?

Hey guys, I need a big favour from you all, if you wouldn’t mind. I have to put together a study for my Stats intro class and I was hoping to get some of the data from you all. :) The question is: Which reason has most influenced your degree choice: career aspirations, interest in the...
6. ### Probablity

The probability that in a fair a person will hit the balloon is 0.25. What is the probability that a person will hit 2 balloons using binomial distribution. Thanks In advance
7. ### Probability question - Cards

Hello everyone! I just started to study statistics by myself because I spent a semester abroad and there are no more lectures at the University, if you have any hints about how to study statistics you are more than welcome to share them with me. Here is the exercise: We choose at random...
8. ### Probability of selecting two different colored balls

Given an urn with x red balls, and y green balls, thoroughly mixed, what is the probability of choosing two colors in the first two picks, when the first pick is put back before the second pick?
9. ### Risk probability assesment

Your exam could be marked with a range of possible grades, simplified as on the following state diagram: Acceptable To begin with the chances are that you will pass with a standard result. Each 45 minutes (the time allocated for each answer) your grade could go up or down to a...
10. ### Matrix representation

A very new European “Rapid Reaction Force for Fire” has been created today and begins operation between three Countries “A”, “B” and “C”. It’s main resource is a super aircraft “Funderbird2” with a massive water cannon that even carries a small mini-submarine for fighting fires at sea...
11. ### Probability

this is my question Suppose 20% of the items produced by a factory are defective. Suppose 12 items are chosen at random. Find the probability that 2 are defective. How to solve this ? Is this a binomial distribution question ?
12. ### Binomial Distribution

A company starts a fund of M dollars from which it pays \$1000 to each employee who achieves high performance during the year. The probability of each employee achieving this goal is 0:10 and is independent of the probabilities of the other employees doing so. If there are n = 10 employees...
13. ### probability of a game of drawing balls

I am new to probability :D, I do one question and stuck for days. Would you all can give me a hint on it? There are (n \geq 1) balls in a bin. n-1 are black, and 1 is red. (k\geq n) players each draw a ball from the bin randomly in a round-robin fashion, until the red ball is drawn. a)...
14. ### unconditional expectation for GARCH model with normal inovations

Hi i have been asked to find unconditional expectations and then a recursive relation. I think I have started well but i am confused at how the recursive relation is made up. this is then to be used with a GARCH model i am working on. details of question: d(t) = mu + sigma(t)Z(t)...
15. ### Moment Generating Functions

The discrete random variable X has probability function p(x)=4/(5^X+1) X=0, 1, 2,... Derive the MGF of X and use it to find E(X) and V(X). I have managed to get this far: Mx(t) = Σ(e^tX)(4/(5^X+1)) e^(tX) = 1 + tX + (t^2/2!)X^2 + (t^3/3!)X^3 + ... So Mx(t) = Σ(4/(5^X+1)) +...
16. ### Converting the payoff from brackets to table format

Hi all, I'm stuck on a question which includes the following: - there are 3 games: A, B, C - the "favourite" strategy consists of putting £2 on game A, £3 on game B, and £4 on game C - the payoff of each game is A ={3,-1,-3}; B ={4,1,-4}; and C = {3,0,-2} - what is the probability that...
17. ### Standard deviation of a set of random odds

Standard deviation of a set of random probabilities Imagine I have n mutually exclusive events whose probabilities are perfectly random. The sum of their probabilities is 1 of course. What is their most likely standard deviation, if there is one? Playing around with R, it looks like there is...
18. ### Help with Probabilistic Modeling with many elements in simulation with unknown probs.

I'm wanting to create a probabilistic model based on several simulations, where I have a binary outcome (go or no-go) and a variable input. The old way of formulating the proability distribution was a straight-forward, curve-fitting of the input variable versus the "go or no-go" outcomes...
19. ### Help needed!

I am having some trouble with the following problem... Investment trusts are companies whose sole activity is the owning of shares in other companies. Each trust may, typically, hold shares of 100 or more selected other companies. The dividends paid by investment trusts are thus the dividends...
20. ### Simple probability problem

A glass jar contains 55 red and 25 blue marbles. What's the probability of choosing a red marble 16 times in a row. After a pick the marbles don't go back in the jar. Also what is the probability of picking 16 red marbles in a row if this experiment is repeated 10 and 20 times. Thanks