Cuatro amigos están en un equipo de baloncesto. Durante un juego, cada amigo llevaba un registro de cuántos tiros intentaron y cuántos de esos intentos hicieron. ¿Qué amigo tuvo el mejor récord en cuanto al número de disparos realizados? Henry acerto 0.45 de sus tiros
Allison hizo 4/15 de sus tiros
Arthur acerto 8/20 de sus tiros
Trevor fallo el 58% de sus tiros

Aprisoner is trapped in a cell containing three doors. the first door leads to a tunnel that returns him to his cell after two days of travel. the second leads to a tunnel that returns him to his cell after three days of travel. the third door leads immediately to freedom. (a) assuming that the prisoner will always select doors 1, 2 and 3 with probabili- ties 0.5,0.3,0.2 (respectively), what is the expected number of days until he reaches freedom? (b) assuming that the prisoner is always equally likely to choose among those doors that he has not used, what is the expected number of days until he reaches freedom? (in this version, if the prisoner initially tries door 1, for example, then when he returns to the cell, he will now select only from doors 2 and 3.) (c) for parts (a) and (b), find the variance of the number of days until the prisoner reaches freedom. hint for part (b): define ni to be the number of additional days the prisoner spends after initially choosing door i and returning to his cell.