A Market Study Taken at a Local Sporting Goods Store

Essay

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 let the sample space be the 20 people questioned.
a.Find P(A),P(B),P(C),P(ASYMBOL 199 \f "Symbol"C),P(BSYMBOL 199 \f "Symbol"C).
b.Are the events A and C mutually exclusive? Explain briefly.
c.Are the 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? In this case is it possible for 3 people to own both a tent and a sleeping bag,but not a camping stove?