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Lesson 9.1
Lesson 9.1

14. CONTINUOUS DISTRIBUTIONS
14. CONTINUOUS DISTRIBUTIONS

... real value in some interval. Examples of intervals: The set of all real numbers The set of positive real numbers All real numbers between 0 and 2. Height, weight, distance, time and volume are continuous. Prices, sales, income, stock returns, and an evening’s winnings at blackjack can be usefully tr ...
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... a sequence of n independent yes/no experiments, each of which yields success with probability p. A success/failure experiment is also called a Bernoulli experiment or Bernoulli trial; when n = 1, the binomial distribution is a Bernoulli distribution. The binomial distribution is the basis for the po ...
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... mean from sample data. He should just calculate μ exactly. 2a. The dot in the lower-left corner is most influential. 2b. It would decrease, since that observation is an outlier and lies close to the regression line. 2c. ŷ = 3.45 + 1.22*23 = 31.51 mpg 2d. When x = 12.5 (the left-most hash mark on th ...
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... 4. The reliability of a piece of equipment is frequently defined to be the probability, P, that the equipment performs its intended function successfully for a given period of time under specific conditions. Because P varies from one point in time to another, some reliability analysts treat P as if ...
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... Hence about 80% of the cars get between 11 and 22 miles per gallon. ...
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... A sample of 100 visa accounts were studied for the amount of unpaid balance. x  $645 and   $132 Construct a 95% confidence interval We are 95% confident the mean unpaid balance of visa accounts is between $619.13 and $670.87. Construct a 99% confidence interval We are 99% confident the mean unpai ...
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... An agency in the state will only hire applicants with test scores of 67 or greater. About what percent of the people have test scores that make them eligible to be hired by the agency? ...
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< 1 ... 737 738 739 740 741 742 743 744 745 ... 861 >

History of statistics

The History of statistics can be said to start around 1749 although, over time, there have been changes to the interpretation of the word statistics. In early times, the meaning was restricted to information about states. This was later extended to include all collections of information of all types, and later still it was extended to include the analysis and interpretation of such data. In modern terms, ""statistics"" means both sets of collected information, as in national accounts and temperature records, and analytical work which requires statistical inference.Statistical activities are often associated with models expressed using probabilities, and require probability theory for them to be put on a firm theoretical basis: see History of probability.A number of statistical concepts have had an important impact on a wide range of sciences. These include the design of experiments and approaches to statistical inference such as Bayesian inference, each of which can be considered to have their own sequence in the development of the ideas underlying modern statistics.
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