A basic statistics course had a total of 25 students which included 15 female (F) students whose distribution by major was 4 in Bio (B), 6 in COM (C), 3 in ECO (E), and 2 in PSY (P). In addition, the course had 10 male (M) students whose distribution by major was 2 in BIO (B), 4 in COM (C), 2 in ECO (E), and 2 in PSY (P). Thus, the total of female and male students was 6 in BIO (B), 10 in COM (C), 5 in ECO (E), and 4 in PSY (P). Based on these data, which of the following is p(C)?
To find the probability of an event, we divide the number of favorable outcomes by the total number of possible outcomes. In this case, we want to find the probability of a randomly selected student being in the COM major (C).
From the given information, we know that there are a total of 25 students in the course. The distribution by major shows that there are 10 students in COM (C), out of which 6 are female (F) students and 4 are male (M) students.
To calculate the probability of a randomly selected student being in COM (C), we can add the number of female and male students in COM and then divide it by the total number of students:
Number of female students in COM = 6
Number of male students in COM = 4
Total number of students in COM (C) = 6 + 4 = 10
So, p(C) = Number of students in COM (C) / Total number of students = 10 / 25 = 2/5 = 0.4
Therefore, the probability of a randomly selected student being in the COM major (C) is 0.4.