Question

The probability that a randomly selected 1-year-old male feral cat will live to be 2 years old is 0.97059. (a) What is the probability that two randomly selected 1-year-old male feral cats will live to be 2 years old? (b) What is the probability that five randomly selected 1-year-old male feral cats will live to be 2 years old? (c) What is the probability that at least one of five randomly selected 1-year-old male feral cats will not live to be 2 years old? Would it be unusual if at least one of five randomly selected 1-year-old male feral cats did not live to be 2 years old?

Answer #1

p = 0.97059

a) P(two randomly selected 1 -year-old male feral cats will live
to be 2 years old) = 0.97059^{2} = 0.9420

b) P(five randomly selected 1 -year-old male feral cats will
live to be 2 years old) = 0.97059^{5} = 0.8613

c) P(at least one of five randomly selected 1 -year-old male feral cats will not live to be 2 years old) = 1 - P(five randomly selected 1 -year-old male feral cats will live to be 2 years old) = 1 - 0.8613 = 0.1387

No, it would not be unusual, because the probability is not less than 0.05 or not greater than 0.95

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