is (chance‚ fairness‚ a way to observe our random world‚ the different representations) - Know what the difference between experimental and theoretical probability is - Be able to find the probability of a single event - Be able to calculate the probability of sequential events‚ with and without replacement - Understand what a fair game is and be able to determine if a game is fair - Be able to make a game fair - Be able to use different approaches (such as tree diagrams‚ area models‚
Free Probability theory Normal distribution
proper notation‚ determine the following: a) b) c) d) e) Find the probability of R‚ the event that a randomly-selected person prefers a romantic movie. Find the probability of F‚ the event that a randomly-selected person is less than 40 years old. Determine the probability of R and F occurring. Are R and F mutually exclusive? (Explain using probabilities) List a pair of mutually exclusive events and explain (in probabilistic terms) why they are mutually exclusive. f) Determine the probability
Premium Randomness Random variable Probability theory
|proficiency. | |Vocabulary: |Visuals‚ Materials & Texts: | |probability‚ event‚ outcome‚ sample space‚ tree diagram |graphing calculators‚ dice‚ coins‚ poster of tree diagram‚ index | | |cards for visual/verbal
Premium Sentence Word Probability theory
First Problem Assignment EECS 401 Due on January 12‚ 2007 PROBLEM 1 (15 points) Fully explain your answers to the following questions. (a) If events A and B are mutually exclusive and collectively exhaustive‚ are Ac and Bc mutually exclusive? Solution Ac ∩ Bc = (A ∪ B)c = Ωc = ∅. Thus the events Ac and Bc are mutually exclusive. (b) If events A and B are mutually exclusive but not collectively exhaustive‚ are Ac and Bc collectively exhaustive? Solution Let C = (Ac ∪ Bc )c ‚ that is the
Premium Venn diagram Conditional probability
TRIDENT UNIVERSITY INTERNATIONAL Done By: Course # MAT201 Case Module 1 Introduction of Probability Instructor: 1. In a poll‚ respondents were asked if they have traveled to Europe. 68 respondents indicated that they have traveled to Europe and 124 respondents said that they have not traveled to Europe. If one of these respondents is randomly selected‚ what is the probability of getting someone who has traveled to Europe? Outcome: selecting someone who has been
Premium Probability theory Theory Hypertension
probability theory which is often refereed to as the science on uncertainty” (Lind‚ Marchal‚ & Wathen‚ 2008). This is the number that explains the chance that something will happen. “Probability is used to mean the chance that a particular event (or set of events) will occur expressed on a linear scale from 0 (impossibility) to 1 (certainty)‚ also expressed as a percentage between 0 and 100%” (Math World‚ n.d.). There are two ways to appoint
Premium Probability theory Conditional probability Decision theory
heart attack. If the patient survives the surgery‚ he has a 50% chance that the heart damage will heal. Find the probability that the patient survives and the heart damage heals. Let BS be the event that the patient survives bypass surgery. Let H be the event that the heart damage will heal. Then P(BS) = 0.60‚ and also we have a conditional probability: given the patient survives the probability that the heart damage will heal is 0.5‚ that is P(H|BS) = 0.5
Premium Probability theory Conditional probability
The water was quiet so quiet that I could hear the ripples in the water. I tried to skip rocks through the water‚ but all I could think about was you. How it was a very sad and lonely day. One day I thought about the trees and the flowers‚ but of course you’d pop up again. I always thought that life would be possible without you. The more I think about it; the more that dream seems to be impossible. I hate this life I live because school nor life could ever be as good as you were. You were the inspiration
Free Psychology English-language films 2005 singles
Probability theory Probability: A numerical measure of the chance that an event will occur. Experiment: A process that generates well defined outcomes. Sample space: The set of all experimental outcomes. Sample point: An element of the sample space. A sample point represents an experimental outcome. Tree diagram: A graphical representation that helps in visualizing a multiple step experiment. Classical method: A method of assigning probabilities that is appropriate when all the experimental
Premium Conditional probability Probability theory
handle Dependent Events Life is full of random events! You need to get a "feel" for them to be a smart and successful person. Independent Events Events can be "Independent"‚ meaning each event is not affected by any other events. Example: Tossing a coin. Each toss of a coin is a perfect isolated thing. What it did in the past will not affect the current toss. The chance is simply 1-in-2‚ or 50%‚ just like ANY toss of the coin. So each toss is an Independent Event. Dependent Events But events can also
Premium Probability theory Conditional probability