Can Someone please answer these questions for me?

W 10 3 Probability Rules [30 points = 10 + 10 + 5 + 5] Suppose that event _ states that a randomly selected students regularly visited Learning Center. Assume that proportion of visitors is P [L] = 80%. It is known that among those who visited learning center, failure rate on exams equals to P [S'|L] = 0.1, so that 10% of those who visited Learning Center fail their exams. Meanwhile, proportion of successful students among those who did not visit Learning Center is P [S|L'] = 0.15 1. Evaluate the overall success rate measured as the marginal probability of the event S, or P, [S] 2. Given that your friend John passed the exam, determine the conditional probability that he visited Learning Center, P [LIS] 3. Given that Tom failed his exam, find the chance that he visited Learning Center, P[LS'] 4. Are events L and S independent? Explain using definitions 90 S PCL] = 0. 80 1. 80 P [S / 1 2 ] = 0.10 10 S' PIS 16'] = 0. 15 20 [S' 4