For Exercises 19 through 28, construct a probability distribution for the data and draw a graph for the distribution.
19. Medical Tests The probabilities that a patient will have \( 0,1,2 \), or 3 medical tests performed on entering a hospital are \( \frac{6}{15}, \frac{5}{15}, \frac{3}{15} \), and \( \frac{1}{15} \), respectively.
20. Investment Return The probabilities of a return on an investment of \( \$ 5,000, \$ 7,000 \), and \( \$ 9,000 \) are \( \frac{1}{2}, \frac{3}{8} \), and \( \frac{1}{8} \).
21. Birthday Cake Sales The probabilities that a bakery has a demand for \( 2,3,5 \), or 7 birthday cakes on any given day are \( 0.35,0.41,0.15 \), and 0.09 , respectively.
22. DVD Rentals The probabilities that a customer will rent \( 0,1,2,3 \), or 4 DVDs on a single visit to the rental store are \( 0.15,0.25,0.3,0.25 \), and 0.05 , respectively.
23. Loaded Die A die is loaded in such a way that the probabilities of getting \( 1,2,3,4,5 \), and 6 are \( \frac{1}{2}, \frac{1}{6}, \frac{1}{12}, \frac{1}{12} \), \( \frac{1}{12} \), and \( \frac{1}{12} \), respectively.
24. Item Selection The probabilities that a customer selects 1,2,3,4, and 5 items at a convenience store are \( 0.32,0.12,0.23,0.18 \), and 0.15 , respectively.
25. Student Classes The probabilities that a student is registered for \( 2,3,4 \), or 5 classes are \( 0.01,0.34,0.62 \), and 0.03 , respectively.
26. Garage Space The probabilities that a randomly selected home has garage space for \( 0,1,2 \), or 3 cars are \( 0.22,0.33,0.37 \), and 0.08 , respectively.
