probability

1. Tires Probability Question

Question: You recently bought a new set of four tires from a manufacturer who just announced a recall because 2% of that particular brand of tires are defective. What is the probability that at least one of your tires is defective? You may assume that the tires are defective independently of...
2. Combining two sources of uncertainty

I will use an imperfect dice for simplicity. Let's assume there are two factors that influence the probability of the results obtained from throwing a dice: 1) the way the dice is thrown and 2) imperfections of the dice. Let's assume that we know what is the probability distribution of the...
3. Probability HW help

I need help with these problems. I worked them out, got answers, and checked the back of the book to see if I got them correct. A pair of six-sided balanced dice are rolled. What are the probabilities of getting the sum of the face values as follows? (a) 8 (b) 6 or 9 (c) 3, 8, or 12 (d)...
4. Help with what a question is asking

I know how to calculate probabilities, but I want to make sure that I am understanding the question. "What is the probability that the Dow Jones Index will increase by more than 11% in the coming year?" and "What is the probability Dow (X) will decrease more than 11% in the coming...
5. Simple Set THeory/Probability Problem

Hello all, I'm very new to statistics as well as this forum, so please bear with me. I've tried solving this for about 30 minutes now and I've made pretty much 0 progress on it. The question is: Suppose that evens A and C are mutually exclusive. P(not A)=0.7, P(CB)=0.4, what are the...
6. Probability of a subjective event based on historical subjective data . Forecasting

Lately i developed an idea of understanding the behavior of kids in their childhood. I was wondering how kids are molded into different adults in no time. So i created a problem statement based on my ideology and hoped to solve using applications of mathematics. Coming from a non engineering and...
7. Probability of H/T Score AND F/T Score Being Specific Scores...

Hi All, Just trying to answer something in my mind... If I had calculated (using poisson) the chances of various scores occurring in a football match, in theory, I could get a %age chance of a full time scoreline. Likewise, I could perform all the same calculations for the half time score...
8. Minimum CDF of non-independent random variables

How can I find the CDF for F_{X,Y}={x,x} if X,Y are not-independent. In other words, what will be Pr{min(X,Y)<x} if X,Y are not-independent? If I already know the individual CDF of both X and Y, i.e. F_{X}(x) and F_{Y}(x), can they be useful to compute the Pr{min(X,Y)<x}, where X,Y are...
9. sampling/probability/correlation?

I have in my course this problem do you have any idea from people who work daily with stats ? the question is like that: the following data are available concerning the products of a firm taken at random from four factories, and classified according to level of quality: Factory A : from low to...
10. Exponential Distribution Conditional Probability

Hello, I have been working with Exponential Distribution problems, but have not come across a problem like this one with both Exponential Distribution and Conditional Probabilities: If the lifetime of an electronic equipment follows an Exponential Distribution with parameter 0.1 hour. Given...
11. Measuring the effect of in-store Promotions

Hello, I am testing the effect of a new in-store promotion technique (treatment). It is applied during product promotions, as a compliment to regular promo displays, to further improve sales. I have the treatment in only one store but on several products promotions in that store (I have...
12. Probability with Permutations Question

Hello! This is my first time posting and I would appreciate any help at all! So the problem I'm working on has to do with randomly choosing letters from the alphabet and the probabilities that they make out words. The problem reads as follows: With your eyes closed, you are randomly...
13. Probability of developing a lung cancer disease

I need to solve this problem: A cohort study is done to assess the impact of smoking on lung cancer. In this study, a large representative sample of first year university students are followed for 40 years. For each student, the smoking status is recorded as well as the lung cancer status at...
14. Probability of an Event...in a certain Time!

Hi Guys, This is probably a basic question for you lot...but let's say I had calculated the chance of an event happening (in this case lets say a goal for a specific team in a football match...) as being 40% at any point in that game. Then I have also worked out that based on all the goals...
15. Basic probability help

Mechanical Engineering reported on the need for wireless networks to monitor the quality of industrial equipment. For example, consider Eaton Corp., a company that develops distribution products. Eaton estimates that 90% of the electrical switching devices it sells can monitor the quality of the...
16. Probability of throwing n different numbers in m throws of a dice

Folks I know how to calculate the probability of throwing the same number in every throw of a dice (die, if you prefer!), and I know how to calculate the probability of throwing a different number in each throw of a dice. But how do I calculate the probability of throwing n different numbers...
17. Probability Question

Hi Everyone, I'm looking to calculate the probability of the time taken for a specific event. I have: The best case scenario which normally takes 30 seconds and happens 90% of the time. The worst case scenario which normally takes 3 hours and happen the remaining 10% of the time...
18. Conditional Probability Problem Help!

Hey guys, I got this question as a practice problem. I believe that it's a conditional probability where I should find the probability of NOT selecting one-half gallon carton. Can someone confirm if there is a typo in this question/is it solvable? Because it doesn't state the sample size to...
19. Gambler's ruin problem - modified

Hi there, I'm a probability newbie. Can anyone help me with the following problem? A player begins with £1 and each round they can wager £1 on the outcome of a game. The player wins the game with probability p (0.48), in which case they get £1 in winnings and with probability 1-p (0.52)...
20. probability for two replication

Suppose that a sample of size n is to be chosen randomly (without replacement) from an urn containing N balls, of which m are white and N-m are black. If we let X denote the number of white balls selected, then the probability of getting exactly i white balls is...