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) = 0.97059² = 0.9420

b) P(five randomly selected 1 -year-old male feral cats will live to be 2 years old) = 0.97059⁵ = 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