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
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|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
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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
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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
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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
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welcoming sign at the school gate. This was erected at the school gate by a company we hired called the ---- and we assisted with unskilled labor. For us to reach a point of making this project a success‚ various methods were initiated such as fundraising through various methods and project identification. This project was made to the benefit of the school (Naledi Senior Secondary) and the community around the school. BACKGROUND OF A PROJECT AREA Situated at the mouth of New Naledi
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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
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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
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Collaborative Fund-Raising Activity The Phoenix Homeless Agency (PHA) needs to increase funding to continue funding job counseling to qualifying recipients. While they regularly access traditional contracts and grants‚ the economy has increased the need for services immensely and required them to look for other sources. The Executive Director and Board of Directors have begun their search by using the internet‚ other agencies‚ and community networking. They have decided that there are three options
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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
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