Statistics Review Normal Distribution

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ASSUME THE GIVEN DISTRIBUTION IS NORMAL.

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Which of the following statement is best described the notation, X~N( μ, σ)?

• The normal distribution with mean and standard deviation

• Random variable X is normally distributed with mean and standard deviation

• N follows a variable distribution with mean and standard deviation

• Mean follows a normal distribution with variance and standard deviation

It is a continuous probability distribution for a normal random variable, x.

• Normal distribution

• Normal random variable

• Standard normal distribution

• Normal curve

Which of the following areas is data fall within 2 standard deviation of the mean?

• 68.26%

• 68.62%

• 95.44%

• 99.72%

It has an infinite number of possible values that can be represented by an interval on the number line.

• Normal distribution

• Standard normal distribution

• Normal curve

• Normal random variable