1. Food Consumption at Dinner: Consider a population with mean consumption at dinner ll] gms. and standard deviation of 40 gms. Nothing is known regarding the distribution of consumption. {a} Minimum what percentage of this population consume less than 200 gms. at dinner? (b) You are inviting k persons from this population for dinner. You want probability of shortage of food to be at most p3. Determine the minimum (in multiple of 100 gins} amount of food to be served in each of the following cases. i. k = 1,133 = 10%, ii. I: = 16 (16 is a. small number), p3 = 5%, and, iii. 1:: = 400 (400 is a large number), 393 = 2%