During a 10-minute interval, adult worms switch from eating to egg-laying with probability 0.1 and from egg-laying

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During a 10-minute interval, adult worms switch from eating to egg-laying with probability 0.1 and from egg-laying to eating with probability 0.15.
a. Draw a diagram illustrating this process.
b. Derive a discrete-time dynamical system for the probability the worm is eating.
c. Find the long-term fraction of time spent eating.
d. If egg-laying takes place at a rate of 1.5 per 10 minutes, about how many eggs would this worm lay during its 15-day life (worms never sleep)?
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