2. An automobile insurer studied the number of claims filed by their policyholders in a given year. The results are as follows: Number of claims (X) 0 2 3 4 P(X) .65 .21 .09 .04 .01 a. There are two properties that tell you this is a discrete probability distribution. What are they? b. What is the probability that a randomly selected policyholder files two claims? c. What is the probability that a randomly selected policyholder files at least one claim? d. What is the probability that a randomly selected policyholder files at most two claims? . What is the mean & standard deviation of the number of claims filed by a policyholder? f. What is the shape of this distribution