A Market Study Taken at a Local Sporting Goods Store $\cap$

question 46

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(A $\cap$ C), P(B $\cap$ 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?

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Definitions:

Speed Limit

The maximum legal speed at which vehicles may travel on a particular stretch of road.

Expected Number

The predicted count in a statistical experiment based on the probabilities of outcomes.

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A regulatory agency responsible for overseeing the securities industry, enforcing laws and regulations to protect investors and ensure market integrity.