3. The probabilities that a customer will rent 0, 1, 2, 3, or 4 DVDs on a single visit to the rental store are 0.4, 0.25, 0.1, 0.15, and 0.1, respectively. Construct a probability distribution for the given data, then construct a graph for the probability distribution. 4. At a drop-in mathematics tutoring center, each teachersees 4 to 8 students per hour. The probability that a tutor sees 4 students in an hour is 0.110; 5 students, 0.156;6 students, 0.285; and 7 students, 0.315. a. Find the probability that a tutor sees 8 students in an hour. b. Construct the probability distribution for the given data. c. Construct a graph for the probability distribution. 5. A researcher wishes to determine the number of cups of coffee a customer drinks with an evening meal at a restaurant. X 0 1 2 3 4 P(X 0.21 0.30 0.46 0.01 0.02 Find the mean. b. Find the variance. c. Find the standard deviation