2D probability integral question

In summary, a 2D probability integral question involves finding the probability of an event occurring within a two-dimensional space. To solve it, one must use integration techniques and have a good understanding of probability. The main difference between 2D and 1D probability integral questions is the number of dimensions involved. 2D probability integral questions have various real-life applications and common mistakes include improper setup and use of incorrect techniques.
  • #1
nhrock3
415
0
the question and solution
after i they find the total interval of the total function
i can't understand
what they do with the graph and how they derive the integrals from it
?
2jc983a.gif

2lc1c93.gif
 
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  • #2
how to we know that x1x2<t is bellow this line
how to we know that x1x2>t is above this line
 

FAQ: 2D probability integral question

1. What is a 2D probability integral question?

A 2D probability integral question is a type of mathematical problem that involves finding the probability of an event occurring within a two-dimensional space. This can include calculating the area under a probability density function or finding the probability of a specific region within a graph.

2. How do you solve a 2D probability integral question?

To solve a 2D probability integral question, you will need to use integration techniques such as double integration or polar coordinates. It is also important to have a good understanding of probability and how it relates to the two-dimensional space in the question.

3. What is the difference between a 2D probability integral question and a 1D probability integral question?

The main difference between a 2D and 1D probability integral question is the number of dimensions involved. A 1D probability integral question only involves one variable, while a 2D question involves two variables. This means that the calculations for a 2D question are more complex and require different techniques.

4. How can 2D probability integral questions be applied in real life?

2D probability integral questions are commonly used in fields such as statistics, physics, and engineering to analyze and make predictions about real-world situations. For example, they can be used to calculate the probability of a certain area being affected by a natural disaster or the likelihood of a particular outcome in a scientific experiment.

5. What are some common mistakes made when solving 2D probability integral questions?

One common mistake is not properly setting up the integral or using the wrong limits of integration. It is also important to be careful with units and to remember to include all necessary constants in the calculations. Another mistake is not fully understanding the question and trying to solve it using incorrect techniques.

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