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.
the variance of the uniform distribution function is 1/12(square of(b-a)) and the mean is 1/2(a+b).
Yes, except that if you know that the distribution is uniform there is little point in using the empirical rule.
Rectangular
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.
An example of homogeneous distribution is a jar of marbles where each marble has an equal chance of being selected. Each marble is equally likely to be chosen, making the distribution uniform and homogeneous.
Actually, a mixture with uneven distribution and easy separation is called heterogeneous, not homogeneous. Homogeneous mixtures have a uniform composition and cannot be easily separated into their individual components.
Yes, the terms heterogeneous and homogeneous can be applied to both pure substances and mixtures. A pure substance can be either homogeneous (uniform composition) or heterogeneous (non-uniform composition), depending on its physical properties. Similarly, a mixture can also be classified as either homogeneous (uniform composition) or heterogeneous (non-uniform composition) based on the distribution of its components.
A uniform distribution.A uniform distribution.A uniform distribution.A uniform distribution.
Homogeneous mixture-uniform mixture of the element
"Homogeneous" is an adjective. It describes something that has a consistent or uniform composition or structure.
Yes. In homogeneous mixtures, you cannot pick out the individual components visually.
Something that has a uniform structure and composition throughout is considered homogeneous. This means that the components are evenly distributed and consistent in their properties.
Air is considered a homogeneous mixture because it contains a uniform distribution of different gases (such as oxygen, nitrogen, and carbon dioxide) throughout. This means that regardless of where you sample air from, the composition will be the same.
An evenly distributed uniform mixture is called a homogeneous mixture. This means that the components of the mixture are spread evenly throughout, resulting in a consistent composition.
Bleach is a homogeneous mixture because it has a uniform composition throughout its structure.
Gypsum and halite both form through the evaporation of water, leading to their distinct cubic crystal structures. This process results in a uniform distribution of their mineral composition, contributing to the unlayered and homogeneous appearance of these minerals.