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Problem # 7 (12.5 pts). In the following table 277 college students are classified according to their class standing and also according to their favorite pizza topping: Anchovies Chicken | Onions | Hamburger | Pineapple | Total (A C (0 (H) (E Freshman 15 63 F) Sophomore 17 21 14 23 75 (S Junior (J) 18 22 13 15 17 85 Senior (R) 9 13 16 7 9 54 Total 56 70 44 48 59 277 If one of these students is selected at random, find the following probabilities: a) The probability that the student likes Chicken or Hamburger topping given that the student is a junior or a senior. b) P {(A UE) |(SUD'} c) P (C UF) d) P {(SUR)'I(A UH)} e) The probability that the student likes Chicken or Onions topping given that she/he is not a Junior. Problem # 8 (12.5 pts). (Draw the bell curves). The mean per capita daily water consumption in a certain village in a country is about 82 liters per person and the standard deviation is about 11.9 liters per person. Random sample of size 50 are drawn from this population and the mean of each sample is determined. a) What is the probability that the mean per capita daily water consumption for a given sample is more than 85 liters per person. b) What is the probability that the mean per capita daily water consumption for a given sample is between 80 and 82 liters per person