A market study taken at a local sporting goods store showed that of 20 people questioned, 6 owned ...

A market study taken at a local sporting goods store showed that of 20 people questioned, 6 owned tents, 10 owned sleeping bags, 8 owned camping stoves, 4 owned both tents and camping stoves, and 4 owned both sleeping bags and camping stoves. Let event A = owns a tent, event B = owns a sleeping bag, event C = owns a camping stove, and sample space = 20 people questioned.
 a. Find P(A), P(B), P(C), P(AC), P(BC).
  b. Are events A and C mutually exclusive? Explain briefly.
  c. Are events B and C independent events? Explain briefly.
  d. If a person questioned owns a tent, what is the probability he also owns a camping stove?
  e. If two people questioned own a tent, a sleeping bag, and a camping stove, how many own only a camping stove?
  f. Is it possible for three people to own both a tent and a sleeping bag, but not a camping stove?