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At a certain high school, 50% of all students carry a backpack, and 46% of all students bring their lunch. Given that a student carries a backpack, 84% 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. WC] C] Select an answer = 0.84 b. Find the probability that a randomly selected student carries a backpack and brings a lunch. C] c. Find the probability that a randomly selected student carries a backpack or brings a lunch. C] d. Find the probability that a randomly selected student does not bring their lunch. C] e. Find the probability that a randomly selected student carries a backpack given that the student brings their lunch. E] 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 a . Compute the left side and the right side of the equation above: Left side C] and Right side C] Conclusion: B and L are Select an answer a . g. Determine if the events, carrying a backpack and bringing a lunch, are independent. Explain. To decide, we check the equation: Select an answer a . Compute the left side and the right side of the equation above: Left side C] and Right side C] Conclusion: B and L J Select an answer mutually exclusive independent not independent not mutually exclusive