The probability that a randomly selected 3 -year-old male feral cat will live to be 4 years old is 0.95626. (a) what is the probability that two randomly selected 3 -year-old male feral cats will live to be 4 years old? (b) what is the probability that seven randomly selected 3 -year-old male feral cats will live to be 4 years old? (c) what is the probability that at least one of seven randomly selected 3 -year-old male feral cats will not live to be 4 years old? would it be unusual if at least one of seven randomly selected 3 -year-old male feral cats did not live to be 4 years old?

Question

Mathematics

Evangeline Daniel

13 October, 18:14

The probability that a randomly selected 3 -year-old male feral cat will live to be 4 years old is 0.95626. (a) what is the probability that two randomly selected 3 -year-old male feral cats will live to be 4 years old? (b) what is the probability that seven randomly selected 3 -year-old male feral cats will live to be 4 years old? (c) what is the probability that at least one of seven randomly selected 3 -year-old male feral cats will not live to be 4 years old? would it be unusual if at least one of seven randomly selected 3 -year-old male feral cats did not live to be 4 years old?

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Boots · Answer 1

(a) we multiply the individual probabilities (because they are independent) : -

answer = 0.95626^2 = 0.91443

(b) this is 0.95626^7 = 0.73119

(c) Prob (at least one does not live until 4 years old) = 1 - Prob (all seven will live until 4 years old) = 1 - 0.73119 = 0.2688.

it would not be unusual for the last probability to happen - its a chance of about 1 in 4.