Q1. A loaded coin has P(heads)=.9 and P(Tails) =.1 The coin is tossed 10 times. A. Find the probability that 3 heads will come up. B. Find the probability that 3 tails will come up C. Find the probability that at most 3 heads will come up. D find the probability that 4head will come upE. Find the probability that at least one tail will come up. Q2.

OCX 1) The managers of a corporation were surveyed to determine the background that leads to a successful manager. Each manager was rated as being either a good, fair, or poor manager by his/her boss. The managers' educational background was also noted. Educational Background MANAGER HS Degree Some College Graduate Totals RATING College Degree Degree Good 3 7 28 1 39 Fair 9 15 47 16 87 Poor 6 2 25 34 Total 13 28 77 42 160 a) Given that a manager is only a fair manager, what is the probability that this manager has no college background? b) Given that a manager is has no college background, what is the probability that he/she is a fair manager? c) What is a probability that the manager has a college degree or a graduate degree? d) What is the probability that the manager does not a college degree? e) What is the probability that the manager is fair? f) What is the probability that the manager is a fair and has a graduate degree college degree? g) What is the probability that the manager is a fair given that he/she has a graduate degree