Question: Five randomly selected households are surveyed, and X represents the number the number of televisions tuned a movie. The values of X are 0, 1, 2, 3, 4, and 5, and the corresponding probabilities are 0.289, 0.407, 0.229, 0.065, 0.009, and 0.001. Is a probability distribution described? If yes, find its mean and standard deviation.