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Ayo Soluade is a proud owner of a 1966 mustang car. On a given day Ayo never knows whether or not his car will start. Ninety percent of the time it will start if it started the previous morning, and...

  1. Ayo Soluade is a proud owner of a 1966 mustang car. On a given day Ayo never knows whether or not his car will start. Ninety percent of the time it will start if it started the previous morning, and 70% of the time it will not start if it did not start the previous morning.
    1. Construct the matrix of transition probabilities
    2. What is the probability that it will start tomorrow if it started today?
    3. What is the probability that it will start tomorrow if it did NOT start today?
    4. What is the probability that it will start in the long run if the matrix of transition probabilities does not change? Assume that initially, the car is in good working condition
    5. PLEASE SHOW WORK.THANK YOU
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