A survey is taken among customers of a fast-food restaurant to determine preference for hamburger or chicken. Of 200 respondents selected, 75 were children and 125 were adults. 120 preferred hamburger and 80 preferred chickens. 55 of the children of the children preferred hamburger and 20 preferred chickens. Set up a 2x2 contingency table using this information and answer the following problems:

All probablities should be expressed in numerical values carrying four decimal points not in percentages

a) What is the probability that a randomly selected individual is an adult?
b) What is the probability that a randomly selected individual is a child and prefers chicken?
c) Given the person is a child, what is the probability that this child prefers a
hamburger?
d) Assume we know that a person has ordered chicken, what is the probability that this individual is an adult?
e) Are food preference and age statistically independent?