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 $3.79 and in country B it is $3.45. 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 $3.50 per gallon? (Round your answer to four decimal places.) 0.8771 |x (b) What percentage of the gas stations in country B charge less than $3.50 per gallon? (Round your answer to two decimal places.) 59.87 (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.) 0.1446

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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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 $3.79 and in country B it is $3.45. 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 $3.50 per gallon? (Round your answer to four decimal places.)
0.8771
(b) What percentage of the gas stations in country B charge less than $3.50 per gallon? (Round your answer to two decimal places.)
59.87
%
(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.)
0.1446
Transcribed Image Text: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 $3.79 and in country B it is $3.45. 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 $3.50 per gallon? (Round your answer to four decimal places.) 0.8771 (b) What percentage of the gas stations in country B charge less than $3.50 per gallon? (Round your answer to two decimal places.) 59.87 % (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.) 0.1446
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