The table shows the probability distribution of the number of bases for a randomly selected time at bat for a random player on a certain baseball team. Complete parts a through c below. Bases AWN - a. Verify that the probabilities give a legitimate probability distribution. Choose the correct answer below. O A. The sum of the probabilities is 1. B. The sum of the probabilities is 1 and each probability falls between 0 and 1. C. The sum of the probabilities is between 0 and 1 and each probability is less than 1. O D. All the probabilities are between 0 and 1. b. Find the mean of this probability distribution. H =(Type an integer or a decimal. Do not round.)