The . . . . . . . . of a collection of data is the joint density evaluated as a function of the parameters with the data fixed.

probability
likelihood
poisson distribution
all of the mentioned

The correct answer is B. likelihood.

The likelihood function is a function of the parameters of a statistical model, given the observed data. It is a measure of how likely the data are under the assumption that the model is true. The likelihood function can be used to calculate the maximum likelihood estimate of the parameters, which is the value of the parameters that makes the likelihood function as large as possible.

The probability function is a function of the random variable, given the values of the parameters of the statistical model. It is a measure of the likelihood that the random variable will take on a particular value. The probability function can be used to calculate the expected value, variance, and other properties of the random variable.

The Poisson distribution is a probability distribution that is often used to model the number of events that occur in a fixed interval of time or space if these events occur with a known average rate and independently of the time since the last event. The Poisson distribution is a special case of the binomial distribution.

The answer is B. likelihood because the likelihood function is a function of the parameters of a statistical model, given the observed data. It is a measure of how likely the data are under the assumption that the model is true. The likelihood function can be used to calculate the maximum likelihood estimate of the parameters, which is the value of the parameters that makes the likelihood function as large as possible.