The capacitor does appear to be backward in the original schematic. The left hand side cannot go above one Vbe, whereas the right hand side will be at 5v with the cap fully charged, so the positive side of the cap should be on the right.
Not entirely sure what the function of the diode is, I initially though it was to discharge the cap more quickly when the +5v supply is removed, but it has negligible impact since the 150k dominates.