For answering your question you need the well-known Shockley equation describing the current-voltage relation for a pn junction: Ic=Is*exp[(Vbe/Vt)-1].
(a) If you know one pair of values (Vbe, Ic) you can find the corresponding saturation current Is. From this, it is easy to find any other pair of values (this is the principle which the infos are based on as given in the answer from analogsystemsrf).
(b) Because the saturation current has very large tolerances (this is the reason for the large beta tolerances) it is not possible to find the corresponding Vbe voltage - with sufficient accuracy - for a given collector current Ic (and for a particular BJT type or part).
This uncertainty is the reason for using a stabilizing emitter resistor RE (emitter degeneration, voltage feedback). This stabilization reduces the sensitivity of the collector current against these tolerances as well as temperature influence.