Question

Calculate the marginal cumulative distribution of function f(y).

Answer 1

The marginal cumulative distribution function (CDF) represents the probability that the random variable y is less than or equal to a given value y. To calculate it, you integrate the probability density function (PDF) of f(y) from negative infinity to y. The resulting integral gives you the cumulative probability up to y.

Step-by-step explanation:

The marginal cumulative distribution function (CDF) of a function f(y) represents the probability that the random variable y is less than or equal to a given value y. To calculate the marginal cumulative distribution of f(y), you need to integrate the probability density function (PDF) of f(y) from negative infinity to y. The resulting integral gives you the cumulative probability up to y.

For example, if the PDF of f(y) is given by
`f(y) = ky^2`, where k is a constant, you would integrate this function from negative infinity to y. Let's say you want to find the marginal cumulative distribution for y = 3. You would integrate f(y) from negative infinity to 3.

Remember that the cumulative distribution function gives you the probability that the random variable is less than or equal to the given value, so the integral gives you the probability up to y.