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What is the definition of a standard normal distribution？

帮考网校2020-11-26 17:46:18

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A standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1. It is also known as the Z-distribution. The distribution is symmetric and bell-shaped, and its probability density function can be represented by the formula:

f(x) = (1/√(2π)) * e^(-x^2/2)

where e is the mathematical constant approximately equal to 2.71828, π is the mathematical constant approximately equal to 3.14159, and x is the random variable. The standard normal distribution is commonly used in statistical analysis and hypothesis testing.

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