A tire manufacturer warranties its tries to last atleast 20099 miles or "you get a new set of tires" . In its experience , a set of these tires lasts on average 26099 miles with standard deviation 5022 miles . Assume that the wear is normally distributed . The manufacturer profits rs 200 on each set sold and replacing a set cost the manufacturer rs 400.  A) what is probability that a set of tire wears out before 20099 miles? B) what is the probability that a set of tires wears out before 24099 miles and after 20099 miles? C) what is the cutoff value in terms of miles of the top 11% wearing out tires?

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A tire manufacturer warranties its tries to last atleast 20099 miles or "you get a new set of tires" . In its experience , a set of these tires lasts on average 26099 miles with standard deviation 5022 miles . Assume that the wear is normally distributed . The manufacturer profits rs 200 on each set sold and replacing a set cost the manufacturer rs 400. 

A) what is probability that a set of tire wears out before 20099 miles?

B) what is the probability that a set of tires wears out before 24099 miles and after 20099 miles?

C) what is the cutoff value in terms of miles of the top 11% wearing out tires?

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