The marks from a Mathematics exam for 10 students are given below:

70, 60, 45, 94, 50, 81, 85, 63, 90, 76

(i) Compute the average marks of the students.

(ii) Compute the standard deviation of the marks of the students.

(b) In a class of 60 students, there are 41 students who study either Biochemistry or Physics. The remaining students in the class study other subjects. If there 20 students who study Biochemistry only and 15 students who study Physics only, what is the probability of finding a student who studies both Biochemistry and Physics?

(c) The campus shuttle arrives on time 75% of the time. The shuttle's arrival time is studied for a sample of 12 days.

(i) Determine the probability that the shuttle arrived on time, on at least 10 days.

(ii) Determine the probability that the shuttle is late for no more than 2 days.