No one "invented" it; it occurs naturally in a wide variety of real world situations. As for who discovered it and described it mathematically, that's another story.
The normal distribution is also known as the Gaussian distribution, after Johann Carl Friedrich Gauss (30 April 1777 to 23 February 1855). It was he first discovered the equations governing the distribution (in 1809) but saw it only as a tool for analysis of measurements. In 1810, Pierre-Simon, marquis de Laplace (23 March 1749 - 5 March 1827) proved its theoretical importance in math. But is was James Clerk Maxwell (13 June 1831 - 5 November 1879) who, decades later showed that the distribution also directly describes certain natural phenomena.
It is worth noting that Gauss, Laplace, and Maxwell each made numerous other contributions to mathematics and science, so one tends to see their names all over the place.
The standard normal distribution is a normal distribution with mean 0 and variance 1.
le standard normal distribution is a normal distribution who has mean 0 and variance 1
When its probability distribution the standard normal distribution.
The Normal distribution is, by definition, symmetric. There is no other kind of Normal distribution, so the adjective is not used.
The normal distribution would be a standard normal distribution if it had a mean of 0 and standard deviation of 1.
The standard normal distribution is a normal distribution with mean 0 and variance 1.
The standard normal distribution is a special case of the normal distribution. The standard normal has mean 0 and variance 1.
le standard normal distribution is a normal distribution who has mean 0 and variance 1
When its probability distribution the standard normal distribution.
No, the normal distribution is strictly unimodal.
The domain of the normal distribution is infinite.
Yes. When we refer to the normal distribution, we are referring to a probability distribution. When we specify the equation of a continuous distribution, such as the normal distribution, we refer to the equation as a probability density function.
The standard normal distribution has a mean of 0 and a standard deviation of 1.
The Normal distribution is, by definition, symmetric. There is no other kind of Normal distribution, so the adjective is not used.
The normal distribution would be a standard normal distribution if it had a mean of 0 and standard deviation of 1.
A mathematical definition of a standard normal distribution is given in the related link. A standard normal distribution is a normal distribution with a mean of 0 and a variance of 1.
No. Normal distribution is a continuous probability.