A large animal preserve has noticed that an albino panther is born unpredictably once every 8 years; and that can happen at any time of the year. a) What are the expected value and standard deviation of the number of albino panthers which will be born in the next 40 years? b) What is the probability the preserve will go 10 years without having another albino panther born?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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A large animal preserve has noticed that an albino panther is born unpredictably once every 8 years; and that can happen at any time of the year.

a) What are the expected value and standard deviation of the number of albino panthers
which will be born in the next 40 years?
b) What is the probability the preserve will go 10 years without having another albino panther born?

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