I need more of an explanation, with numbers and show the work. I would like to understand

1. For the distribution of student suspensions from school from Week 2, assume that these can be used to derive empirical estimates of probabilities. a. What is the probability that a randomly selected student will be suspended sometime during the year? P (Susp) = # Suspended\":l Students = 66f120 = 0.55 b. What is the probability that a randomly selected student will be suspended at least twice during the year? P(2+ Susp) = #2+ Suspension! #Students = 0.3 c. What is the probability that a randomly selected student will be suspended at least twice during the given that he or she is suspended at least - once? P(Suspended twice I Suspended once) = 0.545454 d. If two students {Student A and Student B] are selected at random, what is the probability that Students A and B are both are suspended sometime during the year? Are these events independent? Explain. P(Suspended at least once) x P(Suspended at least once) = 0.55 x 0.55 = 0.3025 Yes , they are independent as one student's suspension doesn't affect the other. e. If two students {Student A and Student B] are selected at random, what is the probability that either Student A or Student B is suspended sometime during the year? Are these events mutually exclusive? Explain. P(A Susp) or P(B Susp) = P(A Susp) + P(B Susp) - P (Both Susp) = [P(A Susp) + P(B Susp)] - ...[P (A Susp) x P (B Susp)]: = (0.55 + 0.55) - 0.3025 = 0.7975 No, as both students can be suspended at the same time