Question

Consider X₁, …, Xₙ to be a random sample from the PDF f(x | θ) = (3θ³) / ((x + θ)⁴), x > 0 depending on the parameter θ > 0. Previously, we f___________.

Answer 1

The random variable X represents the number of days the men's soccer team plays soccer per week. The values 0, 1, and 2 are not included in the probability distribution function (PDF) for X.

Step-by-step explanation:

a. In words, define the random variable X: X represents the number of days the men's soccer team plays soccer per week.

b. What does it mean that the values 0, 1, and 2 are not included for x in the PDF? The fact that the values 0, 1, and 2 are not included for x in the PDF means that the random variable X cannot take on those values in this particular probability distribution function. The domain of X is limited to 3, 4, 5, and so on.