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A clothing store owner finds that 35% of the customers entering the store ask an assistant for help and that 20% of the customers make a purchase before leaving. It is also found that 50% of all customers who ask for assistance make a purchase.
a) What is the probability that a randomly selected customer asks an assistant for help and makes a purchase?
b) What is the probability that a randomly selected customer asks an assistant for help or makes a purchase?
c) What is the probability that a randomly selected customer asks an assistant for help and does not make a purchase?
d) Are the events asks an assistant for help and makes a purchase independent? Why?
e) Are the events asks an assistant for help and makes a purchase mutually exclusive? Why?
f) Are the events asks an assistant for help and makes a purchase collectively exhaustive? Why?
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