When a person becomes infected by a rare virus, the probability of recovery from the infection is 20%. Suppose 10 people are known to be infected by the virus.
What is the probability that
a) 3 people fail to recover?
b) at least 4 people fail to recover?
c) at most 5 recover?
d) The mean and variance of the number of people who fail to recover are _____ and ______, respectively.
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