Loi normale

### Calcul de probabilité

Saisissez la moyenne $\mu$ et l'écart-type $\sigma$ (pas la variance). Puis saisissez un nombre décimale avec une précison maximale de l'ordre de $10^{-2}$. AtaraXy calculera la probabilité souhaitée.

$X\sim \mathcal{N}(\sigma, \mu)$
$\mu =$
$\sigma =$
$\Proba(X$ $)\simeq 0.89065$

### Table de la loi normale centrée réduite $Z\sim \mathcal{N}(0, 1)$ - Table

 $0.00$ $0.01$ $0.02$ $0.03$ $0.04$ $0.05$ $0.06$ $0.07$ $0.08$ $0.09$ $0.0$ $0.50000$ $0.50399$ $0.50798$ $0.51197$ $0.51595$ $0.51994$ $0.52392$ $0.52790$ $0.53188$ $0.53586$ $0.1$ $0.53983$ $0.54380$ $0.54776$ $0.55172$ $0.55567$ $0.55962$ $0.56356$ $0.56749$ $0.57142$ $0.57535$ $0.2$ $0.57926$ $0.58317$ $0.58706$ $0.59095$ $0.59484$ $0.59871$ $0.60257$ $0.60642$ $0.61026$ $0.61409$ $0.3$ $0.61791$ $0.62172$ $0.62552$ $0.62552$ $0.63307$ $0.63683$ $0.64058$ $0.64431$ $0.64803$ $0.65173$ $0.4$ $0.65542$ $0.65910$ $0.66276$ $0.66640$ $0.67003$ $0.67364$ $0.67724$ $0.68082$ $0.68439$ $0.68793$ $0.5$ $0.69146$ $0.69497$ $0.69847$ $0.70194$ $0.70540$ $0.70884$ $0.71226$ $0.71566$ $0.71566$ $0.72240$ $0.6$ $0.72575$ $0.72907$ $0.73237$ $0.73565$ $0.73891$ $0.74215$ $0.74215$ $0.74857$ $0.75175$ $0.75490$ $0.7$ $0.75804$ $0.76115$ $0.76424$ $0.76730$ $0.77035$ $0.77337$ $0.77637$ $0.77935$ $0.77935$ $0.78230$ $0.8$ $0.78814$ $0.79103$ $0.79389$ $0.79673$ $0.79955$ $0.80234$ $0.80511$ $0.80785$ $0.81057$ $0.81327$ $0.9$ $0.81594$ $0.81859$ $0.82121$ $0.82381$ $0.82639$ $0.82894$ $0.83147$ $0.83398$ $0.83646$ $0.83891$ $1.0$ $0.84134$ $0.84375$ $0.84614$ $0.84849$ $0.85083$ $0.85314$ $0.85543$ $0.85769$ $0.85993$ $0.86214$ $1.1$ $0.86433$ $0.86650$ $0.86864$ $0.87076$ $0.87286$ $0.87493$ $0.87698$ $0.87900$ $0.88100$ $0.88298$ $1.2$ $0.88493$ $0.88686$ $0.88877$ $0.89065$ $0.89251$ $0.89435$ $0.89617$ $0.89796$ $0.89973$ $0.90147$ $1.3$ $0.90320$ $0.90490$ $0.90658$ $0.90824$ $0.90988$ $0.91149$ $0.91309$ $0.91466$ $0.91621$ $0.91774$ $1.4$ $0.91924$ $0.92073$ $0.92220$ $0.92364$ $0.92507$ $0.92647$ $0.92785$ $0.92922$ $0.93056$ $0.93189$ $1.5$ $0.93319$ $0.93448$ $0.93574$ $0.93699$ $0.93822$ $0.93943$ $0.94062$ $0.94179$ $0.94295$ $0.94408$ $1.6$ $0.94520$ $0.94630$ $0.94738$ $0.94845$ $0.94950$ $0.95053$ $0.95154$ $0.95254$ $0.95352$ $0.95449$ $1.7$ $0.95543$ $0.95637$ $0.95728$ $0.95818$ $0.95907$ $0.95994$ $0.96080$ $0.96164$ $0.96246$ $0.96327$ $1.8$ $0.96407$ $0.96485$ $0.96562$ $0.96638$ $0.96712$ $0.96784$ $0.96856$ $0.96926$ $0.96995$ $0.97062$ $1.9$ $0.97128$ $0.97193$ $0.97257$ $0.97320$ $0.97381$ $0.97441$ $0.97500$ $0.97558$ $0.97615$ $0.97670$ $2.0$ $0.97725$ $0.97725$ $0.97831$ $0.97831$ $0.97932$ $0.97932$ $0.98030$ $0.98030$ $0.98124$ $0.98169$ $2.1$ $0.98214$ $0.98257$ $0.98300$ $0.98341$ $0.98382$ $0.98422$ $0.98461$ $0.98500$ $0.98537$ $0.98574$ $2.2$ $0.98610$ $0.98645$ $0.98679$ $0.98713$ $0.98745$ $0.98778$ $0.98809$ $0.98840$ $0.98870$ $0.98899$ $2.3$ $0.98899$ $0.98928$ $0.98956$ $0.98983$ $0.99036$ $0.99036$ $0.99086$ $0.99086$ $0.99134$ $0.99134$ $2.4$ $0.99180$ $0.99180$ $0.99224$ $0.99224$ $0.99266$ $0.99266$ $0.99305$ $0.99305$ $0.99343$ $0.99343$ $2.5$ $0.99379$ $0.99379$ $0.99413$ $0.99413$ $0.99446$ $0.99446$ $0.99477$ $0.99492$ $0.99506$ $0.99520$ $2.6$ $0.99534$ $0.99547$ $0.99560$ $0.99573$ $0.99585$ $0.99598$ $0.99609$ $0.99621$ $0.99632$ $0.99643$ $2.7$ $0.99653$ $0.99664$ $0.99674$ $0.99683$ $0.99693$ $0.99702$ $0.99711$ $0.99720$ $0.99728$ $0.99736$ $2.8$ $0.99744$ $0.99744$ $0.99760$ $0.99760$ $0.99774$ $0.99774$ $0.99788$ $0.99788$ $0.99801$ $0.99801$ $2.9$ $0.99813$ $0.99813$ $0.99825$ $0.99831$ $0.99836$ $0.99841$ $0.99846$ $0.99851$ $0.99856$ $0.99861$ $3.0$ $0.99865$ $0.99869$ $0.99874$ $0.99878$ $0.99882$ $0.99886$ $0.99889$ $0.99893$ $0.99896$ $0.99900$ $3.1$ $0.99903$ $0.99906$ $0.99910$ $0.99913$ $0.99916$ $0.99918$ $0.99921$ $0.99924$ $0.99926$ $0.99929$ $3.2$ $0.99931$ $0.99934$ $0.99936$ $0.99938$ $0.99940$ $0.99942$ $0.99944$ $0.99946$ $0.99948$ $0.99950$ $3.3$ $0.99952$ $0.99952$ $0.99955$ $0.99955$ $0.99958$ $0.99958$ $0.99961$ $0.99961$ $0.99964$ $0.99964$ $3.4$ $0.99966$ $0.99966$ $0.99969$ $0.99970$ $0.99971$ $0.99972$ $0.99973$ $0.99974$ $0.99975$ $0.99976$ $3.5$ $0.99977$ $0.99978$ $0.99978$ $0.99979$ $0.99980$ $0.99981$ $0.99981$ $0.99982$ $0.99983$ $0.99983$ $3.6$ $0.99984$ $0.99985$ $0.99985$ $0.99986$ $0.99986$ $0.99987$ $0.99987$ $0.99988$ $0.99988$ $0.99989$ $3.7$ $0.99989$ $0.99990$ $0.99990$ $0.99990$ $0.99991$ $0.99991$ $0.99992$ $0.99992$ $0.99992$ $0.99992$ $3.8$ $0.99993$ $0.99993$ $0.99993$ $0.99993$ $0.99994$ $0.99994$ $0.99994$ $0.99994$ $0.99995$ $0.99995$ $3.9$ $0.99995$ $0.99995$ $0.99996$ $0.99996$ $0.99996$ $0.99996$ $0.99996$ $0.99996$ $0.99997$ $0.99997$