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The uniform distribution.

A random variable X is said to have a [standard] uniform distribution over the interval [0, 1] if

Pr[a < X < b = (b- a) for 0 ≤ a ≤ b ≤ 1

and

Pr[X] = 0 elsewhere.

The probability of the variable being within a range is equal to the size of that range.

The discrete version of this is the probability distribution of the number shown in the throw of a die.

Pr[Number = n] = 1/6 for n = 1, 2, 3, 4, 5 or 6

and 0 otherwise.

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Hey there! Great question! Non-normal distributions are super common in the real world. Let me give you an example from my own life.

Imagine you're at a family reunion, and you decide to measure the heights of all your relatives. You'd probably expect the heights to follow a nice, normal distribution curve, right? Well, in my family, that's not the case. We have this one uncle, let's call him Bob, who's a towering 6 feet 9 inches, and then there's his twin brother, Joe, who's a mere 5 feet 5 inches. Now, if you plot all the heights on a graph, you won't get that classic bell curve; instead, you'll see two distinct peaks – one for the super tall folks and another for the shorter ones. This is a classic example of a bimodal distribution, a type of non-normal distribution where you have two or more peaks instead of the usual single hump.

Non-normal distributions like this can be found in various fields, from finance to Biology. They remind us that the world isn't always neatly packed into that familiar bell-shaped curve, and understanding these deviations is essential for making accurate predictions and decisions in many areas of life. So, don't be surprised if you come across more of these quirky distributions – they're a testament to the rich diversity of data in our world!

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Q: What is an example of non normal distribution?
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What is non normal distribution?

A distribution that is NOT normal. Most of the time, it refers to skewed distributions.


Can a distribution be symmetrical and non-normal?

Certainly.


Give an example from your business or industry that seems to reflect the normal distribution?

example from your business or industry that seems to reflect the normal distribution


Why is the normal probability distribution called a family of normal probability distribution?

Because very many variables tend to have the Gaussian distribution. Furthermore, even if the underlying distribution is non-Gaussian, the distribution of the means of repeated samples will be Gaussian. As a result, the Gaussian distributions are also referred to as Normal.


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.


Does Non-parametric statistics fall in a normal distribution that reflect an ordinal scale?

Not necessarily.


What is the difference between a normal distribution and the standard normal distribution?

The standard normal distribution is a normal distribution with mean 0 and variance 1.


What is the difference of a normal distribution and a stardard normal distribution?

The standard normal distribution is a special case of the normal distribution. The standard normal has mean 0 and variance 1.


Is continuous distribution normal distribution?

le standard normal distribution is a normal distribution who has mean 0 and variance 1


Real life example of normal distribution?

The height of adult males in your nearest town.


When can you say the distribution is considered normal?

When its probability distribution the standard normal distribution.


Does a normal probability distribution include a bimodal distribution?

No, the normal distribution is strictly unimodal.