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Suppose that the average price for a gallon of gasoline in the Country A is $2.79 and in Country B it is $2.35. 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.) 0.1314 x (b) What percentage of the gas stations in Country B charge less than $2.50 per gallon? (Round your answer to two decimal places.) 0.69146 x% (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.)

Suppose that the average price for a gallon of gasoline in the Country A is $2.79 and in Country B it is $2.35. 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.) 0.1314 x (b) What percentage of the gas stations in Country B charge less than $2.50 per gallon? (Round your answer to two decimal places.) 0.69146 x% (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.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Suppose that the average price for a gallon of gasoline in the Country A is $2.79 and in Country B it is $2.35. Assume these averages are the population means in the two countries and that the probability distributions are normally distributed with 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.) 0.1314 x (b) What percentage of the gas stations in Country B charge less than $2.50 per gallon? (Round your answer to two decimal places.) 0.69146 X% (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.)
Transcribed Image Text:Suppose that the average price for a gallon of gasoline in the Country A is $2.79 and in Country B it is $2.35. Assume these averages are the population means in the two countries and that the probability distributions are normally distributed with 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.) 0.1314 x (b) What percentage of the gas stations in Country B charge less than $2.50 per gallon? (Round your answer to two decimal places.) 0.69146 X% (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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