Suppose that the average price for a gallon of gasoline in the United States is $3.75 and in Russia it is $3.38. 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 United States and a standard deviation of $0.20 in Russia a. What is the probability that a randomly selected gas station in the United States charges less than $3.65 per gallon (to 4 decimals)? b. What percentage of the gas stations in Russia charge less than $3.65 per gallon (to 2 decimals)? % c. What is the probability that a randomly selected gas station in Russia charged more than the mean price in the United States (to 4 decimals)? 0.0322

A First Course in Probability (10th Edition)
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Suppose that the average price for a gallon of gasoline in the United States is $3.75 and in Russia it is $3.38. 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 United States and a standard deviation of $0.20 in Russia.
a. What is the probability that a randomly selected gas station in the United States charges less than $3.65 per gallon (to 4 decimals)?
b. What percentage of the gas stations in Russia charge less than $3.65 per gallon (to 2 decimals)?
%
c. What is the probability that a randomly selected gas station in Russia charged more than the mean price in the United States (to 4 decimals)?
0.0322
Transcribed Image Text:Ly wo Suppose that the average price for a gallon of gasoline in the United States is $3.75 and in Russia it is $3.38. 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 United States and a standard deviation of $0.20 in Russia. a. What is the probability that a randomly selected gas station in the United States charges less than $3.65 per gallon (to 4 decimals)? b. What percentage of the gas stations in Russia charge less than $3.65 per gallon (to 2 decimals)? % c. What is the probability that a randomly selected gas station in Russia charged more than the mean price in the United States (to 4 decimals)? 0.0322
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