The lifespan X (years) of a species of pig has pdf f (x) = 3x2e−x^3 , 0 < x < ∞. What is the probability that a pig will live at least 1 year? Given that it lives 1 year, what is the conditional probability that it will live for at least another year?

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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The lifespan X (years) of a species of pig has pdf
f (x) = 3x2e−x^3 , 0 < x < ∞.
What is the probability that a pig will live at least 1 year? Given that it lives 1 year, what is the conditional
probability that it will live for at least another year?
 
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