0
What else can I help you with?
What is the shape of normal probability curve?
bell shaped
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.
Is in the normal distribution the total area beneath the curve represent the probability for all possible outcomes for a given event?
Yes. The total area under any probability distribution curve is always the probability of all possible outcomes - which is 1.
How is probability related to the area under the normal curve?
The Normal curve is a graph of the probability density function of the standard normal distribution and, as is the case with any continuous random variable (RV), the probability that the RV takes a value in a given range is given by the integral of the function between the two limits. In other words, it is the area under the curve between those two values.
What does a negative t statistic mean?
In statistics, the t-test is a measure of the probability of a particular event happening. It is based upon a normal (bell-shaped curve) distribution of probabilities. A negative number result for a t-test indicates that the probability calculated is to the left if you are graphing it on the bell curve. Importantly, it does not indicate a "less than zero" chance of an event happening.
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.
What is the shape of normal probability curve?
bell shaped
What is the mean of standard normal curve?
The mean of a standard normal curve is 0. This curve, which is a type of probability distribution known as the standard normal distribution, is symmetric and bell-shaped, centered around the mean. Additionally, the standard deviation of a standard normal curve is 1, which helps define the spread of the data around the mean.
What does area have to do with probability?
A normalized probability distribution curve has an area under the curve of 1.Note: I said "normalized", not "normal". Do not confuse the terms.
In Statistics a bell shaped curve is said to be?
a Gaussian or 'normal' distribution
Why is A bell shaped probability distribution curve is NOT necessarily a normal distribution?
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.
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.
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 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.
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.
Is in the normal distribution the total area beneath the curve represent the probability for all possible outcomes for a given event?
Yes. The total area under any probability distribution curve is always the probability of all possible outcomes - which is 1.
What is a hill-shaped curve centered around an average value?
A hill-shaped curve centered around an average value typically represents a probability distribution, where the highest point of the curve corresponds to the mean or average. This shape indicates that values closer to the average are more frequent, while values further away are less common, creating a peak at the center. An example of such a distribution is the normal distribution, which is symmetrical and bell-shaped. This type of curve is useful in statistics for understanding the behavior of data sets.
