Each weekend Joan is either jogging or swimming. If Joan swam last weekend, she switches to jogging
Question:
Each weekend Joan is either jogging or swimming. If Joan swam last weekend, she switches to jogging with probability 2/3. If she jogged, she jogs again with probability 1/2.
(a) Find the proportions of the time Joan swims and jogs in the long run.
(b) For the stationary regime, find the probability that in a weekend, Jane switches from swimming to jogging.
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