3. Of the 108 students enrolled in Data Analysis this semester, 63 are enrolled in System Dynamics, 45are enrolled in Manufacturing, 31 are enrolled in Component Design, 22 are enrolled in both System Dynamics and Manufacturing, 12 are enrolled in both System Dynamics and Component Design, 8are enrolled in both Manufacturing and Component Design, and 8 are enrolled in neither System Dynamics, Component Design, or Manufacturing. a. How many students are enrolled in System Dynamics, Manufacturing, and Component Design? b. Indicate the number of students enrolled in the classes in the Venn diagram (e.g., there are 8students enrolled in none of the three classes as indicated by the "8" outside of the Venn diagram). c. What is the probability a student is enrolled in just System Dynamics? d. What is the probability that a student is enrolled in System Dynamics and Component Design butnot Manufacturing? e. What is the probability a student is enrolled in System Dynamics given they are enrolled inManufacturing? f. What is the probability a student is enrolled in Manufacturing given they are enrolled inSystem Dynamics?