be able to ONEDefine probability. TWO Describe the classical‚ empirical‚ and subjective approaches to probability. THREEUnderstand the terms experiment‚ event‚ outcome‚ permutation‚ and combination. FOURDefine the terms conditional probability and joint probability. FIVE Calculate probabilities applying the rules of addition and multiplication. SIXUse a tree diagram to organize and compute probabilities. SEVEN Calculate a probability using Bayes theorem. What is probability There is really no answer
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..... / memo.mlp (mlp) 10.12.20 08:41:34 Research Memorandum No.1129 December 3‚ 2010 Words of Probability ISHIGURO‚ Makio(The Institute of Statistical Mathematics) Words of Probability ISHIGURO‚ Makio(The Institute of Statistical Mathematics) Key Words: subjective probability‚ confidence‚ belief‚ frequency‚ verbal expression Abstract There are everyday expressions such that ’probably’; ’might be’;’could be’ etc.‚ to describe the strengths of one’s confidence in the occurrence
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1. In the examination of early Christian works‚ one can make inferences concerning their beliefs in addition to the distinct implications that are found. Such inferences can be made by exploring major concepts relating to early Christian art‚ markedly the lack of images portraying crucifixion‚ resurrection‚ and the nativity of Christ. One can infer that due to the lack of these three concepts as well as the religion still being considered a cult‚ they were required to hold congregations in private
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standard deck of cards‚ after replacing the first 2. What is the probability of drawing each of the following from a standard deck of cards‚ assuming that the first card is not replaced? a) an ace followed by a 2 b) two aces c) a black jack followed by a 3 d) a face card followed by a black 7 3. Repeat each part of question 2‚ assuming that the first card drawn is replaced and the deck shuffled prior to selecting the second card. 4. What are the odds in favour of rolling a 7‚ or an 11‚ or
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uniformly distributed over (0‚ 10)‚ calculate the probability that a. X < 3 (Ans: 3/10) b. X > 6 (Ans: 4/10) c. 3 < X < 8. (Ans: 5/10) 2. Buses arrive at a specified stop at 15-minute intervals starting at 7 AM. That is‚ they arrive at 7‚ 7:15‚ 7:30‚ 7:45‚ and so on. If a passenger arrives at the stop at a time that is uniformly distributed between 7 and 7:30‚ find the probability that he waits d. Less than 5 minutes for a
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3. Research Finding and Conclusion: 1. Table‚ chart‚ calculation and interpretation: 3.1 Customer profile: 3.1.1 Customers’ Age: Age Midpoint (x) Frequency (f) Percentage <18 12 11 11 ≥18<30 24 25 25 ≥30<55 42 47 47 ≥55 67 17 17 Total 100 100 Table 3.1.1: The age of customers (Authors research) Chart 3.1.1: The age of customers Mean = f(x)f = 38.45 Variance = fx2f – x2 = 273.6 Standard deviation = 273.6 = 16.54 Mode 30-55 Median belong to ≥30<55 group SD độ lệch chuẩnMD
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Probability distribution Definition with example: The total set of all the probabilities of a random variable to attain all the possible values. Let me give an example. We toss a coin 3 times and try to find what the probability of obtaining head is? Here the event of getting head is known as the random variable. Now what are the possible values of the random variable‚ i.e. what is the possible number of times that head might occur? It is 0 (head never occurs)‚ 1 (head occurs once out of 2 tosses)
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Conditional Probability How to 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
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I. Probability Theory * A branch of mathematics concerned with the analysis of random phenomena. The outcome of a random event cannot be determined before it occurs‚ but it may be any one of several possible outcomes. The actual outcome is considered to be determined by chance. * The word probability has several meanings in ordinary conversation. Two of these are particularly important for the development and applications of the mathematical theory of probability. One is the interpretation
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Date _________________________ Multiplication Rule of Probability - Independent Practice Worksheet Complete all the problems. 1. Holly is going to draw two cards from a standard deck without replacement. What is the probability that the first card is a king and the second card is an ace? 2. Thomas has a box with 4 black color bottles and 8 gray color bottles. Two bottles are drawn without replacement from the box. What is the probability that both of the bottles are gray? 3. A jar contains
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