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15y ago

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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.


What is the area under the curve for the histogram below?

There is no histogram below.However, the area under the curve for any histogram is the total frequency.


What is the shape of normal probability curve?

bell shaped


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.


What is the difference between an ordinary histogram and a commulative histogram?

the bell curve shape? anonymous


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.


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 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 percentage of normally distributed scores lie under the normal curve?

100%. And that is true for any probability distribution.


Normal distributing is essy to calculate then other distribution?

We prefer mostly normal distribution, because most of the data around us follows normal distribution example height, weight etc. will follow normal. We can check it by plotting the graph then we can see the bell curve on the histogram. The most importantly by CLT(central limit theorem) and law of large numbers, we can say that as n is large the data follows normal distribution.


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.


Why is only one normal table need to find any probability under the normal curve?

A normal distribution is defined by its mean and standard deviation, which are sufficient to describe the entire curve. Once you know these two parameters, you can use the standard normal table (Z-table) to find probabilities for any normal distribution by standardizing values. This process involves converting any normal variable to a standard score (Z-score), which allows you to utilize the same table for all normal distributions. Therefore, only one normal table is needed for any probability under the normal curve.