Explain Uniform Distribution and provide a simple example.

Expert Solution

Uniform distribution is a type of distribution in which the distribution has a constant probability in some specified interval. It is also known as rectangular distribution. Like all probability distributions for continuous random variables, the area under the graph of a random variable is always equal to 1.

The distribultion is defined by two parameters a and b.

where a is the minimum and b is the maximum.

The probability density function looks like the following:

An example of uniform distribution could be to find the probability that a person gains weight between 10 and 15 pounds given that the average amount of weight gained by a person over the winter months is uniformly distributed from 0 to 30lbs.

Any real life example can be related to uniform distributions as they are relatively simpler than other distributions and then probabilities and expected values or variances can be calculated

orchestra answered 1 year ago

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