Question 1 (10 marks) In an international school, there are two foreign language courses, German and French. Each student must enroll one and only one of the two courses. According to the students' preferences survey conducted at the induction day, 60% of students decide to study German. Suppose now there are 7 students in the registration counter. (a) What is the probability that among the 7 students, all students will enroll in German course? (b) What is the probability that among the 7 students, there will be more enrollments in French course than German course? (c) For many groups, each with 7 students, find the expectation and standard deviation of the number of students will enroll in German course in a group