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The mileage(in thousands of miles) that a car owner gets with a certain kindof tire is a random variable having the probability densityfunction. f(x)= {1/20e^(-x/20)for


The mileage(in thousands of miles) that a car owner gets with a certain kindof tire is a random variable having the probability densityfunction.

f(x)= {1/20e^(-x/20)for x>20and 0 for x<=0

a) Find theprobability that one of these tires will last at most 10,000miles

b)Find theprobability that one of these tires will last anywhere from 16,000to 24,000 miles

c)Find the probability that one of thesetires will last at least 30,000 miles

please show steps, Thanks somuch!


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