The table displays the probabilities of profit values at a company. The random variable X displays gains and losses in thousands of dollars. Does a table describe a probability distribution? Why or why not? X, -200, -100, zero, 100, 200, px, 0.09, 0.24, 0.33, 0.22, 0.12.

Yes, the table does describe a probability distribution. A probability distribution is a statistical function that describes all the possible values and likelihoods that a random variable can take. In this case, the random variable X represents gains and losses in thousands of dollars, and the table displays the probabilities (px) associated with each possible value of X (-200, -100, zero, 100, 200). The probabilities sum up to 1, indicating that the table provides a complete description of the distribution of X.