Part B Problem Solving Answer the following probability problems in the space provided. Ensure you include correct event definitions and the use of proper form. Marks will be deducted for poor communication. Question 1 The KCI Junior Football Team has 38 members. 15 players are on the defense, 17 players are on the offense and 5 players play both offense and defense. What is the probability that a randomly selected member of the team plays on neither the offense nor the defense? Include a complete Venn Diagram for full marks. Question 2 A committee of five members is to be randomly selected from seven (7) students, five (5) teachers and two (2) administrators. What is the probability that the committee: a) will be comprised of all teachers? b) will be comprised of two students, two teachers and one administrator? c) will have at least one teacher and one administrator? Question 3 A satellite launch has a 94% probability of success. For two consecutive launches, assuming that each is an independent event, find the probability that: a) both launches are successful