A buffet serves fresh lobster at lunch and dinner. Let X be lunch demand and Y be dinner demand for portions of lobster. The joint PMF of X and Y is as follows: XIYD 1 2 0 0.09 0.14 0.1 2 [1010.1 0.15 3 [1060.15 0.2 1: Are lunch and dinner demand independent? 2: Find Covariance between lunch and dinner demand a: 1.3932 b: 1.0800 c: 0.1925 d: 1.2900 e:0.1068 3: Find the expected total demand for the day a: 3.04 b: 0.26 c: 3.15 d: 2.31' e: 1.29 4: Find the standard deviation of total demand in a Ida}r a: 1.213? b: 1.022? c: 1.605? d: 1.1223 e: 1.2595 5: The buffet manager orders 4 portions of lobster every day, portions not served are discarded. Find the expected value of the number of lobster portions that will be discarded. a: 2.?1 b: 0.63 c: 1.89 d: 2.25 e: 0.96