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The two-way table below gives information on the performers in the New York Philharmonic Orchestra, categorized by section (type of instrument) and gender. Type of instrument Strings Woodwinds Brass Total Gender Male 24 12 14 Female 37 6 14 Total 61 14 13 88 You select one musician from this group at random. Which of the following statements is true about the events "Plays a woodwind" and "Male?" (a) The events are mutually exclusive and independent. (b) The events are not mutually exclusive but they are independent. (c) The events are mutually exclusive, but they are not independent. (d) The events are not mutually exclusive, nor are they independent. (e) The events are independent, but we do not have enough information to determine if they are mutually exclusive. 6. John maintains two separate lines of lobster traps in Penobscot Bay. The East Bay trap produces a mean of 12 pounds of lobsters per day with a standard deviation of 7 pounds. The West Bay trap produces a mean of 10 pounds of lobsters a day with a standard deviation of 4.5 pounds. The weight of lobsters produced by each trap is independent of the other. Which of the following are the mean and approximate standard deviation of the total weight of lobsters John traps in a day? (a) Mean = 22 pounds; Standard deviation = 5.75 pounds (b) Mean = 22 pounds; Standard deviation = 8.32 pounds (c) Mean = 22 pounds; Standard deviation = 11.50 pounds (d) Mean = 11 pounds; Standard deviation = 11.50 pounds (e) Mean = 11 pounds; Standard deviation = 8.32 pounds 7. An inspector examines a large shipment of several thousand laser pointers by randomly selecting and then inspecting 6 laser pointers. Suppose that 1% of the laser points are defective. Which one of the following expressions describes the probability that exactly one of the six laser pointers is defective? (a) () (0.01) (0.99)5 (b) (9) (0.01) (0.99)6 (c) (0.01)6 (d) (0.99)(0.01) (e) (0.99)5(0.01)