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Question: A gasoline tank for a certain car is designed to hold 16.0 gal of gas. Suppose that the variable …



A gasoline tank for a certain car is designed to hold 16.0 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 16 gal and standard deviation 0.1 gal.
(Round all answers to four decimal places.)

(a) What is the probability that a randomly selected tank will
hold at most 15.9 gal? P(x ≤ 15.9) =

(b) What is the probability that a randomly selected tank will
hold between 15.7 and 16.1 gal? P(15.7 ≤ x ≤ 16.1) =

(c) If two such tanks are independently selected, what is the
probability that both hold at most 16 gal? P(x ≤ 16) =

  

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