The probability that a randomly selected 2 2-year-old male garter snake garter snake will live to be 3 3 years old is 0.98861 0.98861. (a) What is the probability that two randomly selected 2 2-year-old male garter snake garter snakes will live to be 3 3 years old? (b) What is the probability that seven seven randomly selected 2 2-year-old male garter snake garter snakes will live to be 3 3 years old? (c) What is the probability that at least one of seven seven randomly selected 2 2-year-old male garter snake garter snakes will not live to be 3 3 years old? Would it be unusual if at least one of seven seven randomly selected 2 2-year-old male garter snake garter snakes did not live to be 3 3 years old?
Given that the probability that a randomly selected 2-year-old male greater snake will live to be 3 years old is 0.98861 .
a) The probability that two randomly selected 2-year-old male greater snake will live to be 3 years old is (0.98861)2 = 0.97735 .
b) The probability that seven randomly selected 2-year-old male greater snake will live to be 3 years old is (0.98861)7 = 0.92294 .
c) Here, the probability that a randomly selected 2-year-old male greater snake will not live to be 3 years old is (1-0.98861) = 0.01139 .
The probability that at least one of seven seven randomly selected 2-year-old male garter snake will not live to be 3 years old is = 0.01139+(0.01139)2+(0.01139)3+.....+(0.01139)7
= (0.01139)*[1-(0.01139)7]/(1-0.01139)
= 0.01152
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