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Is the a normal distribution curve negative or positive?
Neither. It is symmetrical.
Does mode equals the median normal distribution?
Yes it is. The normal distribution is symmetrical around the mode. Therefore the median has to be the same :)
Is a normal distribution always symmetrical?
yes, it's always symmetric
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.
Does symmetrical distribution have multiple peaks?
It can have multiple peaks, but most symmetrical distributions do not.
