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=== 1987 === | === 1987 === | ||
* ([[1987_EngineeringStatistics|Hogg & Ledolter, 1987]]) ⇒ Robert V. Hogg, and Johannes Ledolter. (1987). | * ([[1987_EngineeringStatistics|Hogg & Ledolter, 1987]]) ⇒ Robert V. Hogg, and Johannes Ledolter. (1987). “Engineering Statistics.</i>” Macmillan Publishing. | ||
** The collection of all possible [[Random Experiment Outcome|outcomes]], namely <math>S</math> = {H,T}, is called the ''[[Sample Space|sample space]]''. Suppose that we are interested in a subset <math>A</math> of our [[Sample Space|sample space]]; for example, in our case, let ''A''={H} represent heads. Repeat this [[Random Experiment|random experiment]] a number of times, say <math>n</math>, and count the number of times, say <math>f</math>, that the experiment ended in ''A''. Here <math>f</math> is called the ''[[Event Frequency|frequency]]'' of the ''event A</i> and the ratio ''f/n</i> is called the ''[[Relative Frequency|relative frequency]]'' of the <B>[[Experimental Frequency Value|event]]</B> <math>A</math> in the <math>n</math> [[Random Experiment Trial|trials of the experiment]]. | ** The collection of all possible [[Random Experiment Outcome|outcomes]], namely <math>S</math> = {H,T}, is called the ''[[Sample Space|sample space]]''. Suppose that we are interested in a subset <math>A</math> of our [[Sample Space|sample space]]; for example, in our case, let ''A''={H} represent heads. Repeat this [[Random Experiment|random experiment]] a number of times, say <math>n</math>, and count the number of times, say <math>f</math>, that the experiment ended in ''A''. Here <math>f</math> is called the ''[[Event Frequency|frequency]]'' of the ''event A</i> and the ratio ''f/n</i> is called the ''[[Relative Frequency|relative frequency]]'' of the <B>[[Experimental Frequency Value|event]]</B> <math>A</math> in the <math>n</math> [[Random Experiment Trial|trials of the experiment]]. | ||
** ''Random experiments'' have ''outcomes'' that cannot be determined with certainty before the experiments are performed... The collection of all possible outcomes, namely <math>S</math> = {H,T}, is called the ''sample space''. Suppose that we are interested in a subset <math>A</math> of our sample space; for example, in our case, let ''A''={H} represent heads. Repeat this random experiment a number of times, say <math>n</math>, and count the number of times, say <math>f</math>, that the experiment ended in ''A''. Here <math>f</math> is called the <i><B>frequency</B></i> of the ''event A</i> and the ratio ''f/n</i> is called the ''relative frequency'' of the event <math>A</math> in the <math>n</math> trials of the experiment. | ** ''Random experiments'' have ''outcomes'' that cannot be determined with certainty before the experiments are performed... The collection of all possible outcomes, namely <math>S</math> = {H,T}, is called the ''sample space''. Suppose that we are interested in a subset <math>A</math> of our sample space; for example, in our case, let ''A''={H} represent heads. Repeat this random experiment a number of times, say <math>n</math>, and count the number of times, say <math>f</math>, that the experiment ended in ''A''. Here <math>f</math> is called the <i><B>frequency</B></i> of the ''event A</i> and the ratio ''f/n</i> is called the ''relative frequency'' of the event <math>A</math> in the <math>n</math> trials of the experiment. |