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StatisticsQ&A LibraryThe average price of gasoline in the US is $3.73 and in Russia it is $3.40. Assume these averages are the population means in the two countries and the probability distribution are normally distributed with a standard deviation of $.25 in the US and the standard deviation of $.20 in Russia. Show your work.a. What is the probability that a randomly selected gas station in the US charges less than $3.50 per gallon?b. What percentage of gas stations in Russia charge less than $3.50 per gallon?c. What is the probability that a random selected gas station in Russia charges more than the mean price in the USQuestion

Asked Jan 28, 2020

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The average price of gasoline in the US is $3.73 and in Russia it is $3.40. Assume these averages are the population means in the two countries and the probability distribution are normally distributed with a standard deviation of $.25 in the US and the standard deviation of $.20 in Russia. Show your work.

a. What is the probability that a randomly selected gas station in the US charges less than $3.50 per gallon?

b. What percentage of gas stations in Russia charge less than $3.50 per gallon?

c. What is the probability that a random selected gas station in Russia charges more than the mean price in the US

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Step 1

It is given that average price of gasoline in the US is $3.73 with a standard deviation of $0.25 and average price of gasoline in Russia is $3.40 with a standard deviation of $0.20.

**a.Calculating the probability that a randomly selected gas station in the US charges less than $3.50 per gallon:**

The random variable X denotes the price of gasoline in US. The required probability is calculated as follows:

Step 2

**b.Calculating the probability that a randomly selected gas station in Russia charges less than $3.50 per gallon:**

The random v...

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