At a certain high school, 70% of all students carry a backpack, and 81% of all students bring their lunch. Given that a student carries a backpack, 89% of these backpack carriers will bring their lunch. a. Let B be the event that a student carries a backpack. Let L be the event that a student brings their lunch. Summarize in symbols the probabilities described above. P(B) = P(L) = Select an answer = 0.89 b. Find the probability that a randomly selected student carries a backpack and brings a lunch. c. Find the probability that a randomly selected student carries a backpack or brings a lunch. d. Find the probability that a randomly selected student does not bring their lunch. e. Find the probability that a randomly selected student carries a backpack given that the student brings their lunch. f. Determine if the events, carrying a backpack and bringing a lunch, are mutually exclusive. Explain. To decide, we check the equation: Select an answer Compute the left side and the right side of the equation above: Left side and Right side Conclusion: B and L are Select an answer g. Determine if the events, carrying a backpack and bringing a lunch, are independent. Explain. To decide, we check the equation: Select an answer Compute the left side and the right side of the equation above: Left side and Right side Conclusion: B and L are Select an answer