# probability

1. ### Mixed Poisson Distribution Help

Question: The number of accidents follows a Poisson distribution with mean 12. Each accident generates 1, 2 or 3 claimants with probabilities 1/6,1/3,1/2, respectively. Calculate the probability that there are at most 3 claimants. Attempt: E(N) = 12[\frac{1}{6}+2*\frac{1}{3}+3*\frac{1}{2}]...
2. ### Probability question

For the 1st part of the question do I use Baye's Theorem? e.g. Required probability = 0.25*0.35/[(0.25*0.35)+(0.30*0.65)]= 0.30 - using Baye's Theorem And can anyone help me with the 2nd part. I have no idea on how to use the information to answer the question. Thanks ! Do I just use...
3. ### Probability of Sporting Event Occurring

Hello everyone I am trying to establish whether it is possible (or appropriate) to calculate the probability of a sporting event occurring given the historic ratio of such event happening. Let me explain a little more in detail - for the purpose of this exercise, I am discounting the fact...
4. ### Combinatorial Analysis HW Help

There are 100 U.S Senators, two from each of the 50 States. If 12 Senators are randomly chosen to form a committee, what is the probabilty that they are alll from different states? If 12 senators are chosen at random from the 100 senators, what is the probabilty that neither of the two...
5. ### Conditional probability of an event given two independent events

I am dealing with an interesting probability problem. I had 16 subjects randomly divided into 4 different rooms, each room having 4 seats. The subjects were given a question to solve. We knew from our prior experience that only 50% people could solve the problem. In our study, 7 of the 16 people...
6. ### precision of two independent classifiers

Consider two classifiers A and B giving binary labels to a big set of candidates, say, we have a million cats and a million dogs for labeling. Assume the two classifiers give independent predictions. Now if classifier A gives a list (500,000) of candidates that are most likely to be dogs (top...
7. ### help!! I have a test and none of this makes sense.

Hello! I have an exam on inferential statistics, etc and need serious help.
8. ### Probability Help

Hello! Taking an introductory course on statistics in college. Confused about one question. It reads: The IRS reports that 15% of the tax returns where the adjusted gross income exceeded \$1 million will be subject to computer audit. For a particular year, a CPA completed 16 returns where the...
9. ### conditional independence

hello, I would like to ask the following: I have 3 random variables X , Y and Z. If I know that X is independent of Y given Z then does this imply that X is independent of Z? thanks !
10. ### calculating probability of disease according to age

I'm making a program which, at one point, is supposed to estimate the probability of having a certain disease based on the patient's age. I'm going to feed the mean age at which the disease occurs, along with the standard deviation, into the program, but I can't figure out how to actually...
11. ### The Probabiliy of Making it

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...
12. ### Simple but quite confusing Problem

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...
13. ### Please help me start this question.

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...
14. ### Compute time to sell (with 50% probability) at Price P from linear regression

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...
15. ### Tricky probability problem

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...
16. ### Multiple Inter-Correlated Binomial Events with only One Event Possible for Success

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...
17. ### if z-value is a negative number, how can i calculate the Probability?

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...
18. ### Ploting Positions from Peak Over Thresold Series

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...
19. ### Comparing 2 groups of means ! shoud I use letters ?

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...
20. ### Simple Probability Question

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...