Imagineu un usuari de Facebook, al qual li encanta felicitar els aniversaris als seus amics. La pregunta és: Quants "amics" hauria de tenir (de mitjana) a Facebook, per assegurar-me que TOTS els dies de l'any podré felicitar, al menys, a un amic? S'ha deft una simplifcació considerant 12 mesos de 30 dies, i la distribució de naixemens uniforme entre 0 i 360 La variable que es mosatra el el número d'amics, que va augmentant fins a omplir tot el calendari. Referència: https://www.quora.com/How-many-friends-on-average-do-you-have-to-have-on-Facebook-before-you-have-a-friends-birthday-every-day-of-the-yeardata:image/png;base64,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Imagineu un usuari de Facebook, al qual li encanta felicitar els aniversaris als seus amics. La pregunta és: Quants "amics" hauria de tenir (de mitjana) a Facebook, per assegurar-me que TOTS els dies de l'any podré felicitar, al menys, a un amic? S'ha deft una simplifcació considerant 12 mesos de 30 dies, i la distribució de naixemens uniforme entre 0 i 360 La variable que es mosatra el el número d'amics, que va augmentant fins a omplir tot el calendari. Referència: https://www.quora.com/How-many-friends-on-average-do-you-have-to-have-on-Facebook-before-you-have-a-friends-birthday-every-day-of-the-year

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el mateix que l'anterior bloc, però d'una altra maneraamics001amics1Percentatge ocupat3601002Està preparat per a fer 1000 simulacions i calcular la mitjana, si cal0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,16820031.67