The following are the observations of a gastronome about the reaction of a group of diners of different ages, weight and height, eating chili peppers in a Mexican restaurant. Mexicans obviously enjoy their national spice, but some non-Mexicans appear to have difficulty with it. Height Weight Mexican Citizen Diner's First Name Liana Jos Zapata Chuck Phil Zara April Pablo Age Interval Middle Middle Young Middle Old Young Young Middle Average Tall Short Short Average Tall Average Short Light Average Average Average Heavy Heavy Heavy Light No Yes Yes No No No No Yes Likes Chili Peppers Nope Yeah Yeah Nope Nope Yeah Yeah Yeah (a) (7 points) Use the average disorder (entropy) formula precisely --- no other approach is acceptable! --- to obtain and draw a small identification tree. Show your work. The following values may come handy in your calculations: log:(1/3) =-1.6 loga(2/3) = -0.6 log2(2/5) =-1.3 log2(3/5) = -0.7 (b) (3 points) Without doing any math, can you draw another, equally small tree which may be more natural for this problem? The following are the observations of a gastronome about the reaction of a group of diners of different ages, weight and height, eating chili peppers in a Mexican restaurant. Mexicans obviously enjoy their national spice, but some non-Mexicans appear to have difficulty with it. Height Weight Mexican Citizen Diner's First Name Liana Jos Zapata Chuck Phil Zara April Pablo Age Interval Middle Middle Young Middle Old Young Young Middle Average Tall Short Short Average Tall Average Short Light Average Average Average Heavy Heavy Heavy Light No Yes Yes No No No No Yes Likes Chili Peppers Nope Yeah Yeah Nope Nope Yeah Yeah Yeah (a) (7 points) Use the average disorder (entropy) formula precisely --- no other approach is acceptable! --- to obtain and draw a small identification tree. Show your work. The following values may come handy in your calculations: log:(1/3) =-1.6 loga(2/3) = -0.6 log2(2/5) =-1.3 log2(3/5) = -0.7 (b) (3 points) Without doing any math, can you draw another, equally small tree which may be more natural for this