Each day Cassandra either shows up for work or calls in sick. If she shows up for work one day, then the next day she is three times as likely to show up for work as she is to call in sick. If she calls in sick one day, then the next day she is seven times as likely to show up for work as she is to call in sick. Using state 1= Cassandra shows up for work and state 2= Cassandra calls in sick, answer the following questions. Write all answers as integers or fractions in lowest terms.If Cassandra is equally likely to show up for work or calls in sick today, write the state vector for today.If Cassandra is equally likely to show up for work or calls in sick today, what is the probability that she shows up for work tomorrow?If Cassandra is seven times as likely to show up for work as she is to call in sick today, write the state vector for today?If Cassandra is seven times as likely to show up for work or calls in sick today, what is the probability that she calls in sick tommorow?