Consider a discrete-time arrival process which defifined as follows: a maximum of one arrival occurs in each

instant. The probability of an arrival in the current slot is 0.8 if there was an arrival in each of the previous

two slots. The probability of an arrival in the current slot is 0.1 if there was no arrival in each of the previous

two slots. The probability of an arrival in the current slot is 0.6 if there was an arrival in the previous slot,

but no arrival in the slot before that. The probability of an arrival in the current slot is 0.4 if there was a no

arrival in the previous slot, but one arrival in the slot before that. Describe a Markov chain that describes this

arrival process. What is the mean arrival rate (average number of packets per slot) of this arrival process?