The 1-year survival probability of a particular species of animal is known to be given by where

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The 1-year survival probability of a particular species of animal is known to be given by0.9 Px (1 + x)

where x = 0, 1, 2, . . . is age.

a. Calculate the probability that an animal aged 5 exact will survive another year.

b. Calculate the probability that a new-born animal will die within the first 3 years of life.

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