hhi ineed help

4. (10 points) A parking garage at UNM has installed an automatic gate. Unfortunately, the drivers have a probability of p of crashing into the gate, in which case it needs to be replaced. Also, if the gate has survived m days without a crash, it still must be replaced because of wear-andtear. What is the long-term expected frequency of gate replacements? Hint: Let the states of the Markov chain denote the number of days the gate has survived. Therefore, they should be a total of m + 1 states. Finally, the long-term frequency of gate replacements is equal to the long-term expected frequency of visits to state 0