A tire manufacturer warranties its tires to last at least
20 comma 00020,000
miles or "you get a new set of tires." In its experience, a set of these tires last on average
25 comma 00025,000
miles with SD
5 comma 0005,000
miles. Assume that the wear is normally distributed. The manufacturer profits
$100100
on each set sold, and replacing a set costs the manufacturer
$400400.
Complete parts a through c.

(a)

What is the probability that a set of tires wears out before
20 comma 00020,000
miles?

Question

A tire manufacturer warranties its tires to last at least 
20 comma 00020,000 
miles or​ "you get a new set of​ tires." In its​ experience, a set of these tires last on average 
25 comma 00025,000 
miles with SD 
5 comma 0005,000 
miles. Assume that the wear is normally distributed. The manufacturer profits 
​$100100 
on each set​ sold, and replacing a set costs the manufacturer 
​$400400. 
Complete parts a through c.







​(a) 

What is the probability that a set of tires wears out before 
20 comma 00020,000 
​miles?