Question
In: Statistics and Probability
The probability that a randomly selected 2 -year-old male chipmunk will live to be 3 years...
The probability that a randomly selected 2 -year-old male chipmunk will live to be 3 years old is 0.98632 . (a) What is the probability that two randomly selected 2 -year-old male chipmunk s will live to be 3 years old? (b) What is the probability that nine randomly selected 2 -year-old male chipmunk s will live to be 3 years old? (c) What is the probability that at least one of nine randomly selected 2 -year-old male chipmunk s will not live to be 3 years old? Would it be unusual if at least one of nine randomly selected 2 -year-old male chipmunk s did not live to be 3 years old?
Solutions
Expert Solution
The probability of a 2 -year-old male chipmunk will live to be 3 years old is independent.
The probability of a 2 -year-old male chipmunk will live to be 3 years old = 0.98632
(a) the probability that two randomly selected 2 -year-old male chipmunk s will live to be 3 years old = 0.986322 = 0.972827
(b) The probability that nine randomly selected 2 -year-old male chipmunk s will live to be 3 years old = 0.986329 = 0.883406
(c) The probability that at least one of nine randomly selected 2 -year-old male chipmunks will not live to be 3 years old = 1 - Probability that none of nine randomly selected 2 -year-old male chipmunks will not live to be 3 years old =
= 1 - The probability that nine randomly selected 2 -year-old male chipmunk s will live to be 3 years old
= 1 - 0.883406 = 0.1166
It would not be unusual if at least one of nine randomly selected 2 -year-old male chipmunk s did not live to be 3 years old becuase the probability that at least one of nine randomly selected 2 -year-old male chipmunk s will not live to be 3 years old = 0.1166 which is not not very low and we can say that the event is usual to happen.
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