Update of Run 1 b results at CDF

While the Collider Detector at Fermilab (CDF) is starting a new data run, it is also finishing analyses based on the 100 pb{sup -1} ''Run 1'' data sample collected between 1992 and 1996. In particular, the {Lambda}{sub b} lifetime has been measured using the exclusive decay channel {Lambda}{sub b} {yields} J/{psi}{Lambda}{sup 0}. The B{sup +} cross section, based upon the decay B{sup +} {yields} J/{psi}K{sup +}, has been finalized, as well as the ratio of inclusive b quark cross sections at {radical}s = 630 GeV and 1800 GeV. Early results from the new data run with the displaced-track trigger, which shows great promise for b physics at CDF, are presented.