Question

What are the features of probability density function?
a) It has a specified range.
b) All the options
c) The integral is shown as an area under the density function.
d) It is the density of probability of a random variable.

Answer 1

Answer:

The probability density function is non-negative for all the possible values, i.e. f(x)≥ 0, for all x. ... Due to the property of continuous random variable, the density function curve is continuous for all over the given range which defines itself over a range of continuous values or the domain of the variable.

Answer 2

Answer:

The answer is b) All the options

Explanation:

Probability Density function properties

Let x be the non-stop random variable with density feature f(x), and the probability density function need to fulfill the following conditions:

For a non-stop random variable that takes a few fee among sure limits, say a and b, the PDF is calculated by way of locating the region beneath its curve and the X-axis inside the decrease restriction (a) and higher limit (b). therefore, the PDF is given by way of

The probability density function is non-poor for all of the feasible values, i.e. f(x)≥ 0, for all x.

The area among the density curve and horizontal X-axis is identical to 1, i.e.

because of the property of non-stop random variables, the density feature curve is sustained for everywhere in the given range. additionally, this defines itself over a variety of continuous values or the domain of the variable

applications of opportunity Density function

PDF, i.e. the opportunity density characteristic has many applications in exceptional fields of have a look at which includes records, technology and engineering. some of the crucial packages of the opportunity density function are listed underneath:

In records, it is used to calculate the chances related to the random variables.

The opportunity density function is used in modelling the yearly information of atmospheric NOx temporal attention

it's far used to model the diesel engine combustion.

What are the features of probability density function?

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