In a large general education class, 60% (.6) are science majors and 40% (.4) are liberal arts majors. Twenty percent (.2) of the science majors are seniors, while 30% (.3) of the liberal arts majors are seniors.
a. If there are 100 students in the class, how many of them are science majors?
b. If there are 100 students in the class, how many of them are science majors and seniors?
c. Create a hypothetical table of 100 students with major (science, liberal arts) as the row variable and class (senior, nonsenior) as the column variable, illustrating the proportions given in the exercise.
d. Use the table created in part (c) to determine what percent of the class are seniors.