transformation of random variable give some unique examples
1. Let Y = X^2, where X is a random variable. This is an example of a transformation that squares the value of the original random variable.
2. Let Y = e^X, where X is a random variable. This is an example of a transformation that takes the exponential of the original random variable.
3. Let Y = X + c, where X is a random variable and c is a constant. This is an example of a transformation that adds a constant to the original random variable.
4. Let Y = sin(X), where X is a random variable. This is an example of a transformation that takes the sine function of the original random variable.
5. Let Y = max(X, 0), where X is a random variable. This is an example of a transformation that takes the maximum of the original random variable and 0.