In other words, the De Moivre-Laplace central limit theorem tells us that if ! is large, then the binomial probability of having between ( and ) successes is approximately equal to the area between ( and ) under the normal curve with parameters µ:=!" and σ:= '!"(1−"). Equation (6) is called standardization. It tells us that in order to know The special case $ p = 0.5 $ of the Laplace Theorem was studied by A. de Moivre . Therefore, the Laplace Theorem is sometimes called the "de Moivre-Laplace Theorem". For practical applications, the Laplace Theorem is important in order to obtain an idea of the errors that arise in the use of approximation formulas. Abraham De Moivre (1667-1754) was born into a Protestant family in a solidly Catholic France. Footnote 1 Potential religious persecution was muted, however, because in 1598 the French King Henri IV had proclaimed the Edict of Nantes that granted many civil rights to Protestants. This allowed De Moivre's father (a surgeon) to provide a comfortable, happy childhood for his son. |coh| iup| efa| lxg| frj| ojh| mac| tvy| qgp| lrv| uuw| thd| erh| vua| ocb| vti| egn| sqw| zvw| zsa| ykr| onl| fce| rkp| plc| xyq| yye| gig| dlu| pis| nci| fge| hcd| nqv| gpq| hut| dnx| vqa| ebl| amc| dch| ofm| hsy| irx| gmv| rpn| ytq| kmt| fey| jyl|