Well, it looks to me like the reason you are getting .05 (actually .056661)
is that their math in this case appears to be wrong.
However, the point of the exercise seems to be that although there are small
differences in emitter and collector currents due to the beta of the
transistor and the resultant small voltage drop through the parallel
equivilant of the biasing resistors, as long as the current through the
biasing resistors is large in comparison to the current through the parallel
equivilant of the biasing resistors, the difference is quite small, and we
can say that the collector current is approximately the same as the emitter
current, and not worry about the difference.
Perhaps some of the guys with more of an engineering background can shed more
light on this.
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