A bell shaped probability distribution curve is NOT necessarily a normal distribution.
When its probability distribution the standard normal distribution.
The total area of any probability distribution is 1
I apologize my question should have read what are the characteristics of a standard normal probability distribution? Thank you
Yes.
with mean and standard deviation . Once standardized, , the test statistic follows Standard Normal Probability Distribution.
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.
Normal distribution is the continuous probability distribution defined by the probability density function. While the binomial distribution is discrete.
No. Normal distribution is a continuous probability.
A bell shaped probability distribution curve is NOT necessarily a normal distribution.
Most random variables are found to follow the probability distribution function All this means is that most things which can be measured quantitatively, like a population's height, the accuracy of a machine, effectiveness of a drug on fighting bacteria, etc. will occur with a probability that can be calculated according to this equation. Since most things follow this equation, this equation is considered to be the "normal" probability density. "Normal" events follow a "normal" probability distribution.
When its probability distribution the standard normal distribution.
No, the normal distribution is strictly unimodal.
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.
From the related link, you can read directly the probability that Z is less than 1.51 is 0.9345.
The total area of any probability distribution is 1
I apologize my question should have read what are the characteristics of a standard normal probability distribution? Thank you