If(x)=c*x^3 Domain;0<x<28 Find value of c.?

A cube PDF(probability density function) of variable x is defined in the domain 0%26lt;x%26lt;28.


1.Which requirements should a CDF(Cumulative distribution function)fulfil?


2.Determine constant c.


3.Make sketch of CDF on the domain given.

If(x)=c*x^3 Domain;0%26lt;x%26lt;28 Find value of c.?
integral of cx^3 from 0 to 28 = 1





cx^4/4 is the indefinite integral ...


c*28^4/4 = 1


thus


c = 4 / 28^4








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