Question: The shelf life (in hours) of a certain perishable pack-aged food is a random variable whose probability density function is given by Find the probabilities

The shelf life (in hours) of a certain perishable pack-aged food is a random variable whose probability density function is given by

20,000 for x > 0 f(x) =I(rTimp 0 elsewhere

Find the probabilities that one of these packages will have a shelf life of

(a) at least 200 hours; 

(b) at most 100 hours; 

(c) anywhere from 80 to 120 hours.

20,000 for x > 0 f(x) =I(rTimp 0 elsewhere

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