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StatisticsQ&A LibraryEach American uses an average of 650 pounds (295 kg) of paper in a year. Suppose that the distribution is aproximately normal with a population standard deviation of 153.5 pounds. Assume the variable is normally distributed. Find the probability that a randomly selected American usesa. More than 800 pounds of paper in a yearb. less than 400 pounds of paper a yearc. between 500 and 700 pounds a yearQuestion

Asked Oct 6, 2019

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Each American uses an average of 650 pounds (295 kg) of paper in a year. Suppose that the distribution is aproximately normal with a population standard deviation of 153.5 pounds. Assume the variable is normally distributed. Find the probability that a randomly selected American uses

a. More than 800 pounds of paper in a year

b. less than 400 pounds of paper a year

c. between 500 and 700 pounds a year

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Step 1

It is given that mean and standard deviation are 650 and 153.5, respectively.

The random variable *X* represents usage of paper.

Step 2

a)

The probability that a randomly selected American uses more than 800 pounds of paper in a year is obtained as follows:

Step 3

The probability that a randomly selected American uses more than 800 pounds of paper in a year represents the area to the right of 0.98.

Here, the area to the left of 0.98 using standard n...

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