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It is known that 60% of mice inoculated with a serum are protected from a certain disease. If 5 mice are inoculated, find the probability

It is known that 60% of mice inoculated with a serum are protected from a certain disease. If 5 mice are inoculated, find the probability that

(a) none contracts the disease;

(b) fewer than 2 contract the disease;

(c) more than 3 contract the disease.

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