Please help correct the missed sections

At a certain high school, 40% of all students carry a backpack, and 89% of all students bring their lunch. Given that a student carries a backpack, 88% 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 and L) v X = 0.88 b. Find the probability that a randomly selected student carries a backpack and brings a lunch. 0.352 V c. Find the probability that a randomly selected student carries a backpack or brings a lunch. 0.938 d. Find the probability that a randomly selected student does not bring their lunch. 0.11 \\l e. Find the probability that a randomly selected student carries a backpack given that the student brings their lunch. 0.396 V f. Determine if the events, carrying a backpack and bringing a lunch, are mutually exclusive. Explain. To decide, we check the equation: P(B and L) = 0 v Compute the left side and the right side of the equation above: Left side | 0 x and Right side |0.352 X Conclusion: B and L are not mutually exclusive v g. Determine if the events, carrying a backpack and bringing a lunch, are independent. Explain. To decide, we check the equation: P(B) = P(L) X . Compute the left side and the right side of the equation above: Left side 0.352 x and Right side 0.356 X Conclusion: B and L are not independent