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7. [10 marks] A recent Flighty Airways passenger survey found the following: . 90% of all passengers are satisfied with the airline's service . 7% of passengers on Flighty Airways travel in Business Class, and the remaining travel in Economy. . Of those that travel in Business Class, two-thirds are satisfied with the airline's service Suppose B is the event that a randomly-chosen passenger flies in Business Class and S is the event that a randomly-chosen passenger is satisfied with the airline's service. (a) Based on the above information, find i. Pr(S) [1 mark ii. Pr(B) [1 mark] iii. Pr(S | B) [1 mark] (b) Write in terms of S and B "the probability that a randomly-chosen Business Class passenger is not satisfied with the service provided" and find the chance that this occurs [2 marks] (c) Find Pr(B | S), the chance that a passenger was flying in Business Class, given that they were not satisfied with the service [3 marks] (d) Are the events S and B independent? Explain your answer. [2 marks]