Question

The probability that a randomly selected 4-year-old male stink bug will live to be 5 years old is 0.97497.

a) What is the probability that two randomly selected 4-year-old male stink bugs will live to be 5 years old?

b) What is the probability that eight randomly selected 4-year-old male stink bugs will live to be 5 years old?

c) What is the probability that at least one of eight randomly selected 4-year-old male stink bugs will not live to be 5 years old? Would it be unusual if at least one of eight randomly selected 4-year-old male stink bugs did not live to be 5 years old?

Answer 1

a.The prob that two randomly selected 4-year old bugs will live to be 5 years old is (0.97497)²=0.95057

b.Similarly that eight randomly selected 4-year old bugs will live to be 5 years old is (0.97497)⁸=0.81645

c.The probability that at least one of the eight randomly selected 4-year old bug will not live to be 5 years old=1-probability that all 8 bugs live=1-0.81645=0.18355

It wont be unusual because the probability is higher in comparison to the fact that one bug fails to live to be 5 years old