5.10. (COMPUTER PROJECT) Twenty computers are connected in a network. One computer becomes infected with a virus. Every day, this virus spreads from any infected computer to any uninfected computer with probability 0.1. Also, every day, a computer technician takes 5 infected computers at random (or all infected computers, if their number is less than 5) and removes the virus from them. Estimate:
(a)the expected time it takes to remove the virus from the whole network;
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(b)the probability that each computer gets infected at least once;
(c)the expected number of computers that get infected.
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