item Being absorbed with many serious thoughts, probability 0.2 you tend to forget a few important items mobile charger wallet 0.1 when you leave the house in the morning The probabilities that you forget a few typical ID card 0.3 phone 0.2 items are given in the table. 0.1 Now solve the followings. pen (a) Let X be the number of the items you forget. What is E[X]? (b) Give a tight upper bound on the probability that you forget one or more items when no independence assumption is made about forgetting different items. (c) Use the Markov Bound to derive an upper bound on the probability that you forget 3 or more items. (d) Assuming that you forget each item listed independently, employ the Chebyshev bound to derive an upper bound on the probability that you forget two or more items