In addition, the proposed method gives more efficient results for multimodal probability density functions. Example 5 : Find the volume of the triangular prism. So, v olume of the above triangular prism is (1/2) x 96 x 3 144 cm 3. Here, the base is a rectangle with length 12 cm and width is 8 cm. ![]() There are different types of prisms that are classified and named as per the shape of their base. A prism is a solid object which has identical bases, flat rectangular side faces, and the same cross-section all along its length. The results show that the confidence region is found no matter how complex the distribution function. Then, formula for the above triangular prism is (1/2) x Base area x Height. The volume of a triangular prism is the space occupied by it from all three dimensions. If you want to calculate the volume of a triangular prism, all you have to do is find the area of one of the triangular bases and multiply it by the height of the shape. In order to show the applicable of the proposed method, four different examples are analyzed. It should not be confused with a pyramid. An approach is enhanced to estimate these confidence regions for probability density functions which are defined as rectangular, polygonal and infinite expanse areas. Confidence regions estimate not only bivariate unimodal probability functions but also bivariate multimodal probability functions. The bisection method is the preferred method in finding the equal density value that reveals the desired confidence coefficient. The formula for the volume of a prism is VBh, where B is the base area and h is the height. The equal density approach is used to demonstrate that confidence regions can be polygonal shapes. In this study, a polygonal approach is suggested to generalize the notion of the confidence region of the univariate probability density function for the bivariate probability density function.
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