A machine which produces some product may either be "in adjustment" or "out of adjustment" state. If the machine is in adjustment, the probability that it will be in adjustment a day later is .8 and...

Extracted text: A machine which produces some product may either be "in adjustment" or "out of adjustment" state. If the machine is in adjustment, the probability that it will be in adjustment a day later is .8 and the probability that it will be out of adjustment a day later is .2. If the machine is out of adjustment, the probability that it will be in adjustment a day later is .7 and the probability that it will be out of adjustment a day later is .3. From the above data find the probabilities of the machine being in one state on a future day given that it started off in another state on the first day.