The correct answer is D. All of the mentioned.
Likelihood is a function of the parameters of a statistical model and the observed data. It measures the relative likelihood of the data under different values of the parameters. The likelihood function is maximized when the parameters are the true values.
The likelihood function has several properties. One property is that the ratio of likelihood values measures the relative evidence of one value of the unknown parameter to another. This means that if the likelihood function is higher for one value of the parameter than for another value, then the data is more likely to have occurred under the first value of the parameter than under the second value.
Another property of the likelihood function is that, given a statistical model and observed data, all of the relevant information contained in the data regarding the unknown parameter is contained in the likelihood function. This means that the likelihood function is a complete summary of the data for the purposes of estimating the unknown parameter.
Finally, the likelihood function is multiplicative. This means that the likelihood function for a set of data is the product of the likelihood functions for each individual piece of data. This property is useful for calculating the likelihood function for complex models with multiple parameters.
In conclusion, the correct answer to the question is D. All of the mentioned.