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In: Statistics and Probability

The probability that a randomly selected 3​-year-old male garter snake will live to be 4 years...

The probability that a randomly selected 3​-year-old male garter snake will live to be 4 years old is 0.99244.
​(a) What is the probability that two randomly selected 3​-year-old male garter snakes will live to be 4 years​ old?
​(b) What is the probability that eight randomly selected 3​-year-old male garter snakes will live to be 4 years​ old?
​(c) What is the probability that at least one of eight randomly selected 3​-year-old male garter snakes will not live to be 4 years​ old? Would it be unusual if at least one of eight randomly selected 3​-year-old male garter snakes did not live to be 4 years​ old?

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Answer:

Given that the probability that a randomly selected 3-year-old male greater snake will live to be 4 years old is 0.99244 .

a) The probability that two randomly selected 3-year-old male greater snake will live to be 4 years old is (0.99244)2 = 0.98493

b) The probability that eight randomly selected 3-year-old male greater snake will live to be 4 years old is (0.99244)^8 = 0.94109.

c) Here, the probability that a randomly selected 3-year-old male greater snake will not live to be 4 years old is (1-0.94109) = 0.05891

The probability that at least one of eight randomly selected 3​-year-old male garter snake will not live to be 4 years​old is = 0.05891

Since this is > 5%, we can conclude that this is not unusual.

Probability that atleast 1 will not survive out 8 is not unusual.

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orchestra answered 1 year ago
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