The Poisson probability distribution‚ named after the French mathematician Siméon-Denis. Poisson is another important probability distribution of a discrete random variable that has a large number of applications. Suppose a washing machine in a Laundromat breaks down an average of three times a month. We may want to find the probability of exactly two breakdowns during the next month. This is an example of a Poisson probability distribution problem. Each breakdown is called an occurrence in Poisson
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positions are filled at random form the 11 finalists‚ what is the probability of selecting: A: 3 females and 2 males? B: 4 females and 1 male? C: 5 females? D: At least 4 females? Problem 2 By examining the past driving records of drivers in a certain city‚ an insurance company has determined the following (empirical) probabilities: [pic] If a driver in this city is selected at random‚ what is the probability that: A: He or she drives less than 10‚000 miles per year or has
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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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is snowball sampling? Snowball sampling uses a small pool of initial informants to nominate‚ through their social networks‚ other participants who meet the eligibility criteria and could potentially contribute to a specific study. The term "snowball sampling" reflects an analogy to a snowball increasing in size as it rolls downhill [9] Snowball Sampling is a method a used to obtain research and knowledge‚ from extended associations‚ through previous acquaintances‚ "Snowball sampling uses recommendations
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The Collier Encyclopedia’s definition for probability is the concern for events that are not certain and the reasonableness of one expectation over another. These expectations are usually based on some facts about past events or what is known as statistics. Collier describes statistics to be the science of the classification and manipulation of data in order to draw inferences. Inferences here can be read to mean expectations‚ leading to the conclusion that the two go hand in hand in accomplishing
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Probability Distribution Memo To: Howard Gray‚ CEO; Jean Dubois‚ VP Mechanical Watch Division; Uma Gardner‚ VP Production; Amanda Hamilton‚ VP Marketing After identifying the business problem of falling sales and an increase in rejections by the Swiss Official Chronometer Control‚ conducting a study for research will prove to identify a solution. Researchers performed a study of a sample population of 500 people. The study reveals 60% of the watches purchased are certified and the average
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Objective 4. The objective of the auditor when using audit sampling is to provide a reasonable basis for the auditor to draw conclusions about the population from which the sample is selected. Definitions 5. For purposes of the PSAs‚ the following terms have the meanings attributed below: (a) Audit sampling (sampling) – The application of audit procedures to less than 100% of items within a population of audit relevance such that all sampling units have a chance of selection in order to provide the
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new Household appliance to potential customers. She has found from her years of experience that after demonstration‚ the probability of purchase (long run average) is 0.30. To perform satisfactory on the job‚ the salesperson needs at least four orders this week. If she performs 15 demonstrations this week‚ what is the probability of her being satisfactory? What is the probability of between 4 and 8 (inclusive) orders? Solution p=0.30 q=0.70 n=15 k=4 [pic] Using Megastat we get
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14. If x has the probability distribution f(x) = 12x for x = 1‚2‚3‚…‚ show that E(2X) does not exist. This is famous Petersburg paradox‚ according to which a player’s expectation is infinite (does not exist) if he is to receive 2x dollars when‚ in a series of flips of a balanced coin‚ the first head appears on the xth flip. 17. The manager of a bakery knows that the number of chocolate cakes he can sell on any given day is a random variable having the probability distribution f(x) = 16 for x =
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