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There are infinitely many sets of parameters that will generate a bell shaped curves - or near approximations.

The Student's t or binomial, for large sample sizes get very close to the Gaussian distribution. There are others, too.

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Q: Why is A bell shaped probability distribution curve is NOT necessarily a normal distribution?
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Related questions

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.


If a probability distribution curve is bell-shaped then this is a normal distribution?

True * * * * * No. The Student's t-distribution, for example, is also bell shaped.


How does the standard normal distribution differ from the t-distribution?

The normal distribution and the t-distribution are both symmetric bell-shaped continuous probability distribution functions. The t-distribution has heavier tails: the probability of observations further from the mean is greater than for the normal distribution. There are other differences in terms of when it is appropriate to use them. Finally, the standard normal distribution is a special case of a normal distribution such that the mean is 0 and the standard deviation is 1.


Define a normal random variable?

I have included two links. A normal random variable is a random variable whose associated probability distribution is the normal probability distribution. By definition, a random variable has to have an associated distribution. The normal distribution (probability density function) is defined by a mathematical formula with a mean and standard deviation as parameters. The normal distribution is ofter called a bell-shaped curve, because of its symmetrical shape. It is not the only symmetrical distribution. The two links should provide more information beyond this simple definition.


What is a bell-shaped distribution in statistics?

It is called a normal distribution.


In a perfectly symmetrical bell-shaped normal distribution?

Normal distribution is a perfectly symmetrical bell-shaped normal distribution. The bell curve is used to find the median, mean and mode of a function.


Another name for the Normal Distribution?

Gaussian distribution. Some people refer to the normal distribution as a "bell shaped" curve, but this should be avoided, as there are other bell shaped symmetrical curves which are not normal distributions.


What is the shape of normal probability curve?

bell shaped


What is the expected shape of the distribution of the sample mean?

The distribution of the sample mean is bell-shaped or is a normal distribution.


In Statistics a bell shaped curve is said to be?

a Gaussian or 'normal' distribution


Is a normal distribution extremely skewed or oddly shaped?

It is not at all skewed. As to oddly shaped, it depends on your expectations.


Is normal distribution symmetric with a single peak?

the normal distribution are a very important class of statistical distributions.all normal distributions are symmetric and have bell- shaped density curves with a single peak.both the normal and symmetrical distributions are u-shape and equal from both sides. the normal distribution is considered the most prominent probability distribution in statistics.There are several reasons for this first, the normal distribution is very tractable analytically. that is a large number of results involving this distribution can be derived in explicit from.Second, the normal distribution arises as the outcome of the central limit theorem, which states that under mild conditions the large number of variables is distributed approximately normally.finally, the "bell" shape of the normal distribution marks it is a convenient choice for modeling a large variety of random variables encountered in practices.