Could you please help with part (d) and (e). Thanks!

. lorisider a l't'll'lt'h" chain with state space {1, 11.2, - .. and transition probabilities phi1 = 1: 1: 152:3?\" " pi]; =pi: =11521~35\"' wherepi :bfor alliandziapi=L {a} Is the chain irreducible? (b) What is the period of state 1']? {e} What is the period of state 1, for all values of i? {d} Under what condition is the chain positive recurrent? } {e If the chain is positive recurrent... what is the mean number of steps required for it to return to state 1' if it starts from