the probability that an eagle kills a jackrabbit in a day ofhunting is 10%. Assu

Question

the probability that an eagle kills a jackrabbit in a day ofhunting is 10%. Assume that the results are independent betweendays. a) what is the distribution of the number of days until asuccessful jackrabbit hunt? b)what is the probability that the eagle must wait 5 days forits first successful hunt? c)what is the expected number of days until a successfulhunt? d)if the eagle can survive up to 10 days without food ( itrequires a successful hunt on the tenth day), what is theprobability the eagle is still alive 10 days from now? thanx in advance the probability that an eagle kills a jackrabbit in a day ofhunting is 10%. Assume that the results are independent betweendays. a) what is the distribution of the number of days until asuccessful jackrabbit hunt? b)what is the probability that the eagle must wait 5 days forits first successful hunt? c)what is the expected number of days until a successfulhunt? d)if the eagle can survive up to 10 days without food ( itrequires a successful hunt on the tenth day), what is theprobability the eagle is still alive 10 days from now? thanx in advance

Explanation / Answer

d) the eagle will die only if on the full 10 days it doesntget a successful hunt. probability that an eagle kills a jackrabbit in a day ofhunting is 10%. hence probability of one successful hunt = 0.1 probability of an unsuccessful hunt = 0.9 hence, probability that eagle doesnt get succuessfulhunt all the 10 days = 0.9 x 0.9 x 0.9 x 0.9 x 0.9 x 0.9 x 0.9 x 0.9 x 0.9 x 0.9 =0.3486784401 = 0.35(approx)

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