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In the city of Raccoon City, 65% of the population have been infected by a mutagenic pathogen known as the T-Virus. Suppose 12 residents of

In the city of Raccoon City, 65% of the population have been infected by a mutagenic pathogen known as the T-Virus. Suppose 12 residents of Raccoon City were selected at random.

(a) What is the probability that half of those selected have been infected by the T-Virus?

(b) What is the probability that at least 8 of those selected have been infected by the T-virus?

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