A gasoline tank for a certain car is designed to hold 17.0 gal of gas. Suppose that the variable x = actual capacity of a randomly selected tank has a distribution that is well approximated by a normal curve with mean 17 gal and standard deviation 0.1 gal. (Round your answers to four decimal places.)   (a) What is the probability that a randomly selected tank will hold at most 16.8 gal? P(x ≤ 16.8) =   (b) What is the probability that a randomly selected tank will hold between 16.7 and 17.1 gal? P(16.7 ≤ x ≤ 17.1) =  (c) If two such tanks a

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A gasoline tank for a certain car is designed to hold 17.0 gal of gas. Suppose that the variable x = actual capacity of a randomly selected tank has a distribution that is well approximated by a normal curve with mean 17 gal and standard deviation 0.1 gal. (Round your answers to four decimal places.)

 
(a) What is the probability that a randomly selected tank will hold at most 16.8 gal?
P(x ≤ 16.8) =  

(b) What is the probability that a randomly selected tank will hold between 16.7 and 17.1 gal?
P(16.7 ≤ x ≤ 17.1) = 

(c) If two such tanks are independently selected, what is the probability that both hold at most 17 gal?
P(x ≤ 17) = 
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