$7.$ Consider the following lifelogging HMM of a KU student. Assume $\backslash$pi $\_1=0\mathrm{.}4,\backslash$pi $\_2=0\mathrm{.}6.(20\%)$ b$\_1($a$)$ Find Prob$($hiking$,$ hiking, study, shopping $|\backslash$Theta $)$ using the evaluation procedure $($forward algorithm$)$ of HMM. $($b$)$ Find the corresponding state sequence using the decoding procedure of HMM.