The density curve for a continuous random variable x has which of the following properties
a. the probability of any event is the area under the density curve and above the values of X that make up the event
b. the total are under the density curve for X must be exactly 1
c. the probability of any event of the form x= constant is 0
d. all of the above

Question

23-11-2022
Mathematics

Answered

The density curve for a continuous random variable x has which of the following properties
a. the probability of any event is the area under the density curve and above the values of X that make up the event
b. the total are under the density curve for X must be exactly 1
c. the probability of any event of the form x= constant is 0
d. all of the above

Answer :

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contexto38 contexto38 · Answer 1 · 2022-11-29T02:13:10-05:00

Out of the choices provided, the density curve for a continuous and a random variable ''x'' has all the properties, which have been listed above. Therefore, the option D holds true.

A density curve can be referred to or considered as the smooth curve, which is used for the purpose of representation of shape of a variable's distribution, which is easily identified through the properties that it contains. A density curve can be used for the purpose of graphical representation, such as a histogram.

Learn more about a density curve here:

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