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Q: Is uniform distribution symmetric
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Is the uniform probability distribution is symmetric about the mode?

Yes, the uniform probability distribution is symmetric about the mode. Draw the sketch of the uniform probability distribution. If we say that the distribution is uniform, then we obtain the same constant for the continuous variable. * * * * * The uniform probability distribution is one in which the probability is the same throughout its domain, as stated above. By definition, then, there can be no value (or sub-domain) for which the probability is greater than elsewhere. In other words, a uniform probability distribution has no mode. The mode does not exist. The distribution cannot, therefore, be symmetric about something that does not exist.


Is the uniform probability distribution is symmetric about the mean and median?

yes


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.


What is the important similarity between the uniform and normal probability distribution?

They are both continuous, symmetric distribution functions.


Are all symmetric distribution are normal?

No. The binomial distribution (discrete) or uniform distribution (discrete or continuous) are symmetrical but they are not normal. There are others.


How the symmetric distribution is always normal?

The statement is false. The binomial distribution (discrete) or uniform distribution (discrete or continuous) are symmetrical but they are not normal. There are others.


If the mean of a symmetric distribution is 130 which of these values could be the median of the distribution?

If it is a symmetric distribution, the median must be 130.


Does the t distribution becomes more skewed As the degree of freedom increases?

The t-distribution is symmetric so the question is irrelevant.The t-distribution is symmetric so the question is irrelevant.The t-distribution is symmetric so the question is irrelevant.The t-distribution is symmetric so the question is irrelevant.


Is the F distribution a symmetric distribution?

No.It is asymmetric.


Can mean and median have same values?

Yes, they can.Yes, they can. In a symmetric distribution they will be the same.


Similarity between the uniform and normal probability distributions?

They are continuous, symmetric.


Can a normal distribution curve be symmetric or left-skewed or right-skewed?

Symmetric