probability

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 that make it to the playoffs? Given each team has 1/12 chance of making it. I solved it like this, (8 choose 6) /(12 choose 8) = 0.056. Is this...

Hi all, I'm solving the problems in probability but, the question below looks simple but quite confusing to me. Regarding question 2-(c), any tips or advice would be appreciated to me. 2. Suppose that we have N balls numbered 1 to N. If we let Xi be the number on the ith drawn ball so...

Consider an experiment where we roll a single die once and let X represent the number of dots that appear on the top face of the die. Suppose that the die is not fair and that P(X=x)=x/k for x= 1,2,3,4,5,6. All I would like to know is what does the k in x/k mean in this question? How would I...

I think this is a very basic question (from a total stat newbie). I'm trying to understand a problem I was given (I'm not a statistics student). It's a multi-part problem having to do with car sales. In the first part, I ran a linear regression on car mileage/sales price data (price being the...

Hi, I was wondering if you could help me out with a problem I have: I need to work out the probability that someone will be able to complete a minimum of 10 hours of rehearsals in one week. The probability that this person is free each day is 60% on a weekday and 30% on the weekend. There are...

Hi you’ll, I have a thought problem that might not have an easy/correct answer. It looks to be a Bayesian at first glance – and it might be – but because I am using some complicated machine-learning algorithms, and because of the nature of the problem, the water are muddy for me. I am just...

Hello guys, :) I have an important question I want to ask. I have already searched the web and my statistics book but I can not find the answer :( I stumbled across this problem when preparing for my final from statistics and I can not figure out how we can get P=1 from a z-value=-10.6066...

Hello. I have a little confusing with some aspect related to the Peak Over Thresold Series and differencing the methodology of analysis from that of the Maximum Annual Series. For example, for a daily series can one does this?: 1. Order the data (several years or a non-integer number of...

Hello, I hope everyone is doing well ! when comparing groups of means in a table, usually we express the differences in terms of letters next to each mean, like in the following example done by professor Gerard Dallal, which is dealing with four groups (A, B, C, D) My question now is : Can I...

OK, so I am wondering about something and am not good with probability, but maybe someone here has the answer You have a die with only 4 sides, with the numbers 1-4 written on the sides. You roll the die 5 times. What is the probability of the number 2 showing up: Once? Twice? Three times...

Hello, Consider two different cases of soccer betting. 1) The first consists of 32 different sets of matches (each consisting of 5 matches with different odds of their own). Some of the individual matches (of 5 matches) in the sets can be the same with another set from time to time, but...

An article is claiming that likelihood to cheat can be predicted by religious affiliation. I have provided some of their data on their sample of aspiring cheaters. I gathered data on religious affiliation in the United States. Given the following information, what can we conclude...

hi guys. as you know, IP is a combination of 4 parts. every part is from 0-255, for example 234.32.135.7. now, my question is, what is the probability that two IPs will get the exact same first 3 parts. for example 1.2.3.234 and 1.2.3.121. is it just 256^3? and what is the chance that...

Hypothetically, I have three tests that can determine if someone has cancer or doesn't have cancer. A True positive would indicate that the person doesn't have cancer. Below is a description of each test. Test 1: TP=.7 , FN = .3 , FP= .1 , TN = .9 , Accuracy = 80% Test 2: TP=.8 , FN = .2 , FP=...

Hi, I have the following question. Suppose I draw a measure of 0<m<1 points uniformly without replacement from [0,1]. What is the probability that less than or equal to a measure of 0<k<m<1 points are drawn from the interval [i,1]? WLOG, suppose k<1-i. An example: a measure of 1/3 points...

Hi, I have a question as homework to solve, but although it's so easy (as everyone says) I am not still able to solve it. Could you please help me with that? We have two coops: in coop 1 there are 10 male and 5 female chickens. Coop 2 has 5 male and 10 female chickens. We randomly select...

At an allergist’s office, patients are screened for having a peanut allergy. The probability of having a peanut allergy is 0.023. The probability that the test comes up positive for those with a peanut allergy is 0.80. The probability that the test provides a negative result for those who do not...

I am working with an environmental dispersion model, that I am trying to verify with measured data. We have a six receptors (measurement stations) in the field that measures gas concentrations that could be attributed to release from a plant. For each receptor I have 28 (14 years of semi-annual...

Quoted is an extract for Sample Survey Principles and Methods, Vic Barnett(2002) Pg 34 The concept of probability averaging only arises in relation to some prescribed probability sampling schemes. Thus, for simple random sampling we have the concept of the expected value of y_i, the ith...

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)?