Question
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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Expert Answer

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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:

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x-L 800 650 Z = 153.5 Z 0.98

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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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Math

Statistics

Hypothesis Testing

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