3. An amusement park in Ontario conducted market research on the frequency of visits to the park by families who live within a 50 kilometers radius of the park. Data collected from a random sample of 500 families is presented as follows: Number of visits last year Number of families |. . .. 14S . _ Let X be the random variable representing the number of visits to the park by families who live within a 50 kilometers radius of the Park. (8 points) a. Show the probability distribution function of this random variable b. What is the probability that a family visited the park exactly three times last year? c. What is the probability that a family visited the park at least once last year