A law firm employs three types of lawyers: junior lawyers, senior lawyers, and partners. During a given year, there is a 0.15 prabability that a junior lawyer will be promoted to senior lawyer and a 0.05 probability that he or
she will leave the firm. Also, there is a 0.20 probability that a senior lawyer will be promoted to partner and a 0.10 proability that he or she will leave the firm. There is a 0.05 proability that a partner will leave the firm. The firm never demotes a lawyer.
(1) How long does a newly hired junior lawyer stay
with the firm?
(2) What is the probability that a newly hired
junior lawyer will leave the firm as a partner?
(3) What is the
average length of time that a partner spends with the firm (as