[pic] TITILE : THEORY OF PROBABILITY NAME : KYRIOS JOYCE ERDAYA RAJOO IC NO : 930603-10-5700 CLASS : 5 MULIA TEACHER : MRS.MALLIKA a) History of Probability The scientific study of probability is a modern development. Gambling shows that there has been an interest in quantifying the ideas of probability for millennia‚ but exact mathematical
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1 Why probability and statistics? Is everything on this planet determined by randomness? This question is open to philosophical debate. What is certain is that every day thousands and thousands of engineers‚ scientists‚ business persons‚ manufacturers‚ and others are using tools from probability and statistics. The theory and practice of probability and statistics were developed during the last century and are still actively being refined and extended. In this book we will introduce the basic notions
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Systematic Matching sampling is a way‚ a procedure or a manner of taking action following processes. In such cases before conducting field research‚ it is taking a certain approach of identifying which course of action best suits the chosen field of study with concern to undertaking research. The purpose of this essay is to discuss what systematic matching is and how researchers use this method to determine satisfactory results. “The purpose of matching is to find an available respondent who is
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Sampling and Data Collection in Research Sandra Vargas BSHS/435 3/26/2015 Judith A. Geske University of Phoenix Sampling and Data Collection in Research Sampling and Data Collection in Research are tools that assist researchers to gather important information regarding a specific group of people (Monette‚ Sullivan‚ & DeJong‚ 2011). There are fundamental steps that need be followed to practice accurate research as much as possible. For example‚ probability and nonprobability as stated by
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There are many ways to select a random sample. Four of them are discussed below: Simple Random Sampling: In this sampling technique‚ each sample of the same size has the same probability of being selected. Such a sample is called a simple random sample. One way to select a simple random sample is by a lottery or drawing. For example‚ if we need to select 5 students from a class of 50‚ we write each of the 50 names on a separate piece of paper. Then‚ we place all 50 names in a hat and mix them thoroughly
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variable X is a weighted average of the possible values that the random variable can take. Unlike the sample mean of a group of observations‚ which gives each observation equal weight‚ the mean of a random variable weights each outcome xi according to its probability‚ pi. The mean also of a random variable provides the long-run average of the variable‚ or the expected average outcome over many observations.The common symbol for the mean (also known as the expected value of X) is ‚ formally defined by Variance
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1. A quality control engineer knows that 10% of the microprocessor chips produced by a machine are defective. Out of a large shipment‚ five chips are chosen at random. What is the probability that none of them is defective? What is the probability that at least one is defective? 2. An automated manufacturing process produces a component with an average width of 7.55 centimeters‚ with a standard deviation of 0.02 centimeter. All components deviating by more than 0.05 centimeter from the mean must
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Samples and Sampling The term "sampling‚" as used in research‚ refers to the process of selecting the individuals who will participate (e.g.‚ be observed or questioned) in a research study. A sample is any part of a population of individuals on whom information is obtained. It may‚ for a variety of reasons‚ be different from the sample originally selected. Samples and Populations The term "population‚" as used in research‚ refers to all the members of a particular group. It is the group of
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scale: 1. not at all‚ 2 somewhat‚ 3 very (a) Suppose you take random samples from the following groups: freshmen‚ sophomores‚ juniors‚ and seniors. What kind of sampling technique are you using (simple random‚ stratified‚ systematic‚ cluster‚ multistage‚ convenience)? Answer: For all students I would use the convenience sampling. The reason I would use this method is because college students often are very busy between school and work there is not very much room for anything else. So I would
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Populations and Sampling Chapter 7 7 Populations and Sampling The Rationale of Sampling Steps in Sampling Types of Sampling Inferential Statistics: A Look Ahead The Case Study Approach The Rationale of Sampling In Chapter One‚ we established the fact that inductive reasoning is an essential part of the scientific process. Recall that inductive reasoning moves from individual observations to general principles. If a researcher can observe a characteristic of interest in all members of a population
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