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For practice only: You may need to use the appropriate appendix table to answer this question.
The average price for a gallon of gasoline in the country A is $2.77 and in country B it is $2.45. Assume these averages are the population means in the two countries and that the probability distributions are normally distributed with a standard deviation of $0.25 in the country A and a standard deviation of $0.20 in country B.
(a)
What is the probability that a randomly selected gas station in country A charges less than $2.50 per gallon? (Round your answer to four decimal places.)
(b)
What percentage of the gas stations in country B charge less than $2.50 per gallon? (Round your answer to two decimal places.)
%
(c)
What is the probability that a randomly selected gas station in country B charged more than the mean price in the country A? (Round your answer to four decimal places.)
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