Question

The probability that a randomly selected 3​-year-old male feral cat will live to be 44 years old is 0.95149

​(a) What is the probability that two randomly selected

33​-year-old male feral cat will live to be 4 years​ old?

​(b) What is the probability that

eight

randomly selected

33​-year-old

male

feral cat

will live to be

4

years​ old?

​(c) What is the probability that at least one of

eight

randomly selected

33​-year-old

male

feral cat

will not live to be

4

years​ old? Would it be unusual if at least one of

eight

randomly selected

33​-year-old

male

feral cat

did not live to be

4

years​ old?

Answer 1

a)

Required probability = P(two randomly selected cats will live to be 4 years old) =

b)

Required probability = P(eight randomly selected cats will live to be 4 years old) =

c)

Required probability = P(at least one of eight randomly selected 33​-year-old male feral cat will not live to be 4 years​ old)

= 1 - P(none of the eight randomly selected 33​-year-old male feral cat will not live to be 4 years​ old)

= 1 - P(all of the eight randomly selected 33​-year-old male feral cat will live to be 4 years​ old)

= 1 - 0..67179

= 0.32821

Since this probability is not very low, so this won't be an unusual event.