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. (1 point) What is the probability that a randomly selected student will be suspended sometime during the year?

b. (1 point) What is the probability that a randomly selected student will be suspended at least twice during the year?

c. (2 points) 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?

d. (2 points) If two students (Student A and Student B) are selected at random, what is the probability that Students A and B are both suspended sometime during the year? Are these events independent? Explain.

e. (2 points) 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.

Problem Set # 0' 4 . For the distribution of student suspensions from school from week 2 , assume there can be used to derive empirical estimates of probabilities suspensions frequency 0 56 1 30 2 17 3 4 7 5 4 Total 125 a . What is the probability that a randomly selected student will be suspended, sometime during the year ? b. What is the probability that a randomly selected student will be suspended at least twice during the year ? c . What is the probability that a randomly suected student . will be suspended at least twice during the given that he or she is suspended at least once? C d . If two students ( Student At and student B ) are selected at random , what is the probability that students Aand D are both suspended sometime during the year ? Are these clints independent? Explain