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Q: What does the curve of the standard normal distribution represent?
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Normal curve is the meaning of standard normal distribution?

No, the normal curve is not the meaning of the Normal distribution: it is one way of representing it.


Which normal distribution is also the standard normal curve?

The normal distribution would be a standard normal distribution if it had a mean of 0 and standard deviation of 1.


What is the difference between a general normal curve and a standard normal curve?

A standard normal distribution has a mean of zero and a standard deviation of 1. A normal distribution can have any real number as a mean and the standard deviation must be greater than zero.


The normal curve would represent the distribution of?

American women in terms of their physical heights.


What is the area under the standard normal distribution curve between z1.50 and z2.50?

~0.0606


What is the area under the standard normal distribution curve between z0.75 and z1.89?

0.1972


Why if a probability distribution curve is bell shaped why is this a normal distribution?

A bell shaped probability distribution curve is NOT necessarily a normal distribution.


How the normal distribution could be transformed to a standard normal distribution?

You may transform a normal distribution curve, with, f(x), distributed normally, with mean mu, and standard deviation s, into a standard normal distribution f(z), with mu=0 and s=1, using this transform: z = (x- mu)/s


What must be done to a normal curve to make it into a standard normal distribution curve?

The mean must be 0 and the standard deviation must be 1. Use the formula: z = (x - mu)/sigma


How do you use the z-score to determine a normal curve?

If the Z-Score corresponds to the standard deviation, then the distribution is "normal", or Gaussian.


What are the two parameters that are necessary to determine probabilities for a particular normal distribution curve?

Mean and Standard Deviation


What requirements are necessary for a normal probability distribution to be a standard normal probability distribution?

The normal distribution, also known as the Gaussian distribution, has a familiar "bell curve" shape and approximates many different naturally occurring distributions over real numbers.