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How to identify the the shape of probability distribution?
You cannot. There are hundreds of different distributions. The shapes of the distributions depend on their parameters so that the same distribution can be symmetric when the parameters have some specific value, but is highly skewed - in either direction - for other values.
A distribution that has the same shape on either sife of the center is said to be symmetrical?
true - Distributions that have the same shape on both sides of the center are called symmetric
When two distributions have the same mean but different distribution and variability?
The answer will depend on what the question actually is!
When it comes to comparing data from different distributions what is the benefit of normal standard distribution?
There may or may not be a benefit: it depends on the underlying distributions. Using the standard normal distribution, whatever the circumstances is naive and irresponsible. Also, it depends on what parameter you are testing for. For comparing whether or not two distributions are the same, tests such as the Kolmogorov-Smirnov test or the Chi-Square goodness of fit test are often better. For testing the equality of variance, an F-test may be better.
What is the same shape but different size?
The word for this is "similar." The same shape and the same size is "congruent."
How to identify the the shape of probability distribution?
You cannot. There are hundreds of different distributions. The shapes of the distributions depend on their parameters so that the same distribution can be symmetric when the parameters have some specific value, but is highly skewed - in either direction - for other values.
A distribution that has the same shape on either sife of the center is said to be symmetrical?
true - Distributions that have the same shape on both sides of the center are called symmetric
If two distributions have the same MTTF can it be concluded that the reliabilities given by the two distributions are of the same?
It would be wrong to come to that conclusion: variations in the MTTF can be greatly different.
Is a big shape the same as a normal shape?
yes
If two distributions have exactly the same mean and standard deviation must their histograms have the same shape If they have the same five-number summary must their histograms have the same shape?
No, and no. Think about two skewed distributions that are mirrored across the mean so that one is right and one is left. they have the same mean and standard deviation, but are opposite. Also, the 5 number summary does not affect a histogram
When two distributions have the same mean but different distribution and variability?
The answer will depend on what the question actually is!
What shape has the same shape and same size?
A equilateral triangle and a normal triangle.
When it comes to comparing data from different distributions what is the benefit of normal standard distribution?
There may or may not be a benefit: it depends on the underlying distributions. Using the standard normal distribution, whatever the circumstances is naive and irresponsible. Also, it depends on what parameter you are testing for. For comparing whether or not two distributions are the same, tests such as the Kolmogorov-Smirnov test or the Chi-Square goodness of fit test are often better. For testing the equality of variance, an F-test may be better.
Is each snowflake always a different shape?
They fall in Different shape but they are the same shape
What is the difference of regular and irregular shapes?
The difference between an irregular and regular is that a regular shape is the normal form of a hexagon or pentagon etc. A regular hexagon would have six sides all the same length and all the angles would be the same. An irregular shape is a shape in a different form of the normal form. Example, A irregular hexagon would still have six sides but the lengths may be different and the angles also may be different.
What is the same shape but different size?
The word for this is "similar." The same shape and the same size is "congruent."
What is a shape with the same shape but different size what is that called?
Similar.
