2. Suppose that 52% of the all students majoring in computer science nd satisfactory employment within 1 year following graduatio n a} If 3 computer science majors are followed for 1 year following graduation, compute the probability that 4 of them have found satisfactory employment. b] If 8 computer science majors are followed for 1 year following graduation, compute the probability that at most i\" ofthem have found satisfactory employment. cj If X denotes the number of computer science majors that found find satisfactory employment within 1 year following graduation compute the mean and standard deviation o'fX. 10. In the Department of Mathematical and Computational Science, 83% of lecture halls have chalkboards, and the other 17% have dry-erase boards. Of the classes taught in rooms with chalkboards, 75% are mathematics courses, 15% are computer science courses, and 10% are statistics courses. Of the classes taught in rooms with dry-erase boards, 65% are computer science courses, 8% are mathematics courses, and 27% are statistics courses. a) I have given you more information than is needed to do the problem. List three of the values which were not necessary. b) What percent of courses at the college are mathematics or statistics? 1. There are 18 mathematics majors and 325 computer sci- ence majors at a college. a) In how many ways can two representatives be picked so that one is a mathematics major and the other is a computer science major? b) In how many ways can one representative be picked who is either a mathematics major or a computer sci- ence major