Question: 3. A random variable has the following triangular density, f(x) min(x, 2-x), 0 2. Develop algorithms to generate this variate using each of the following

3. A random variable has the following triangular density, f(x) min(x,

3. A random variable has the following triangular density, f(x) min(x, 2-x), 0 2. Develop algorithms to generate this variate using each of the following methods: (a) Inverse-transformation; (b) Rejection; (c) Composition, followed by i. inverse-transformation method for the components; ii. rejection method for the components; (d) Convolution 3. A random variable has the following triangular density, f(x) min(x, 2-x), 0 2. Develop algorithms to generate this variate using each of the following methods: (a) Inverse-transformation; (b) Rejection; (c) Composition, followed by i. inverse-transformation method for the components; ii. rejection method for the components; (d) Convolution

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