trojansc82 said:Homework Statement
∫3/43x2e-(x/4)3
Homework Equations
F(x) = 0∫xf(t) dt
The Attempt at a Solution
The solution is 1 - e-(x/4)3
I have tried integrating but I am not able to arrive at the solution...
What is the indefinite integral of e-(x/4)3?
A difficult distribution function is a mathematical function that describes the probability of a random variable taking on different values. It is considered difficult when it cannot be easily expressed or calculated using traditional methods.
A distribution function can be considered difficult due to its complexity, lack of closed-form expression, or the need for advanced mathematical techniques to calculate it.
Examples of difficult distribution functions include the Cauchy distribution, the Pareto distribution, and the Weibull distribution. These functions typically have complicated equations and cannot be easily expressed in terms of other simple functions.
Understanding difficult distribution functions is important in many scientific disciplines, including statistics, physics, and engineering. These functions are often used to model real-world phenomena and make predictions about future events.
There are various methods for calculating difficult distribution functions, depending on the specific function and the available mathematical tools. Some common techniques include numerical integration, simulation, and using specialized software or algorithms.