Question

A study was conducted in 1997 to measure the total fat content, calories, and sodium content ol vegetable burgers available at supermarkets and commonly used as a meat substitute. Measure ments on 54 different brands of "veggie burgers," and the results were used to develop the 3-way contingency table below. Total Fat Content Under 3 g (3-4g Over 4 g Under 130 Calories 130 Calories or More Under 320 g 320 g Sodium or Under 320 g 320 g Sodium or Sodium More Sodium More a 6 7 1 1 7 6 A = {"Under 130 Calories"}, B = {"320 g Sodium or More"), C = {"Over 4 g Total Fat"} A vegetable burger is selected randomly from the group. Find the following probabilities: (a) P(A) (b) P(B) (c) P(C) (d) P(ANB) (e) P(ANBNC) (f) P(AUB)

Answer 1

= 54 (a) PLA)- MCA) 54 =_6 + 12 +7+ ५ + +1 - 34 = 0.5746) 54 ( PB) : २+५+ + I+S+6 - 29 - 605308 © PCC) = 1+1+72615 - 02778 54 (d) PCADB) : 2+4+ 0.3148 54 Q PhmBDC) = [H -0062103 54 O PLAUB) = P(A) + PCB) - PLANB) : __ 3 + २१ - 11 54 ___- 0.79 6२१6