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Q: Why there are an infinite number of normal distributions?
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Normal distribution is symmetric with single peak.Does this mean that all distibutions are normal?

No, not all distributions are symmetrical, and not all distributions have a single peak.


Does this means that all symmetric distribution are normal Explain?

Don't know what "this" is, but all symmetric distributions are not normal. There are many distributions, discrete and continuous that are not normal. The uniform or binomial distributions are examples of discrete symmetric distibutions that are not normal. The uniform and the beta distribution with equal parameters are examples of a continuous distribution that is not normal. The uniform distribution can be discrete or continuous.


How does the shape of the normal distribution differ from the shapes of the uniform and exponential distributions?

the normal distribution is a bell shape and expeonential is rectangular


Why t-distributions tend to be flatter and more spread out than normal distribution?

T-distributions tend to be flatter and more spread out than normal distributions due to their heavier tails. Unlike the normal distribution, which has thin tails, t-distributions account for uncertainty in sample variance estimation, making them more robust for smaller sample sizes. The additional variability inherent in t-distributions arises from the incorporation of the sample size through the degrees of freedom parameter. As the degrees of freedom decrease, the t-distribution becomes more spread out and flatter, reflecting increased uncertainty and variability in the estimates. This property makes t-distributions well-suited for inferential statistics, particularly when dealing with small sample sizes.


Is the range of outcomes infinite in normal distribution?

1

Related questions

How many zeros are in pi?

Pi is an irrational number with an infinite number of digits.The answer to this question depends upon whether pi is a "normal" irrational number or not. By "normal" in this context we mean that it has an infinite number of non repeating digits and there is an equal probability for the occurrence of any digit in the number. If this is true then in an infinite sequence, where any digit has an equal chance of appearing, then there must be an infinite number of that digit. So the answer is that there are an infinite number of zeroes in pi.If pi is not normal then the answer is unknown.


Are all symmetric distributions normal distributions?

No. There are many other distributions, including discrete ones, that are symmetrical.


Do t distributions have less spread than normal distributions?

I think yes or no


Normal distribution is symmetric with single peak.Does this mean that all distibutions are normal?

No, not all distributions are symmetrical, and not all distributions have a single peak.


Can the standard normal variate in normal distributions be negative?

About half the time.


Is the normal distribution infinite?

The domain of the normal distribution is infinite.


Does this means that all symmetric distribution are normal Explain?

Don't know what "this" is, but all symmetric distributions are not normal. There are many distributions, discrete and continuous that are not normal. The uniform or binomial distributions are examples of discrete symmetric distibutions that are not normal. The uniform and the beta distribution with equal parameters are examples of a continuous distribution that is not normal. The uniform distribution can be discrete or continuous.


Are all unimodal distributions normal?

No. Normal distribution is a special case of distribution.


What is normal binomial distribution?

There is no such thing. The Normal (or Gaussian) and Binomial are two distributions.


What is non normal distribution?

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


Is symmetrical a characteristic of a normal distribution?

The Normal ditribution is symmetric but so are other distributions.


Do normal probability distributions have different arithmetic means and different standard deviations?

Yes. And that is true of most probability distributions.