10 Markov Processes 402 i53 10.17 Study into a Radioactive Element A laboratory is analysing the probabilities that atoms from a radioactive element become atoms of another element. With every minute that passes, there is a probability of 0.003 that one 212 Bi atom is converted into 208T1, and a probability of 0.007 of it being converted into 208Pb, whereas one 208T1 atom has a probability of 0.2 of being converted into 208Pb (and no probability of being converted into 212Bi). 208Pb is stable. (a) Consider the described system according to a Markov Chain (b) How many minutes will pass on average for one 212Bi atom to be converted into 208Pb? And how many for one 208T1 to be converted into 208Pb? (c) What are the probabilities of there being a stable state