Consider a smart thermostat $($e$.$g$.,$ Nest by Google$).$ The thermostat shuts down the air conditioning system when users are not at home, which should help to save energy. Based on a predictive model, and given the location of the users, the thermostat determines when it should turn on the air conditioning so the temperature is comfortable as soon as the users arrive at their homes $($and remains nice until they leave again$).$ Table: User A$\text{'}$s Hourly Location Log

Consider a smart thermostat $($e$.$g$.,$ Nest by Google$).$ The thermostat shuts down the air conditioning system when users

are not at home, which should help to save energy. Based on a predictive model, and given the location of the users, the

thermostat determines when it should turn on the air conditioning so the temperature is comfortable as soon as the

users arrive at their homes $($and remains nice until they leave again$).$

Suppose that a particular user $($User A$)$ lives alone in a house. User A$\text{'}$s hourly location log is provided in the table. This

log is available to a mobile application that interfaces with the Nest thermostat.

Design$-$a Markov chain with two states: Home and Not Home. Consider that the day of the week does not matter. Also

consider that the data for all $7$ days of the week have equal probability of occuring when you build the Markov chain.

Compute the stationary probability matrix.

Given that User A is currently at home, what is the probability that User A will not be at home in the next hour? $($Write

your answer as a decimal and round to the nearest hundredths.$)$

Suppose that a particular user $($User A$)$ lives alone in a house. User A$\text{'}$s hourly location log is provided in the table. This log is available to a mobile application that interfaces with the Nest thermostat.

Design a Markov chain with two states: Home and Not Home. Consider that the day of the week does not matter. Also consider that the data for all $7$ days of the week have equal probability of occuring when you build the Markov chain. Compute the stationary probability matrix.

Given that User A is currently at home, what is the probability that User A will not be at home in the next hour? $($Write your answer as a decimal and round to the nearest hundredths.$)$ check below images and provide me correct answer with calculation