Question

Describe a continuous distribution and name five properties/examples of this.

Answer 1

A density function in probability for any given distribution in probability that is continuous has the following properties:

1) The graph of this density function will be continuous over its range. This is because it is defined over a continuous variable and also continuous range of values.

2) The area that is covered under the curve that is produced by this density function and the x- axis is always equal to 1, when it is evaluated over the variable’s domain values.

3) The probability of the assumption of values of random variable to lie between ‘c’ and ‘d’ is simply equal to the area that is bounded by the density function’s curve under the points ‘c’ and ‘d’.

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