The Easy Credit Company reports the following table representing a breakdown of customers accounting to the amount they owe and whether a cash advance has been made. An auditor randomly selects one of the accounts. Accounts owned by Customers and Cash Avance

Accounts owned by Customers Cash Advance Yes No

$0199\mathrm{.}992452,890$

$200399\mathrm{.}993801,700$

$400599\mathrm{.}995001,425$

$600799\mathrm{.}99415940$

$800$ to $999\mathrm{.}99260480$

$1000$ or more $290475$

Total Customers $2,0907,910$ Show your work!

$1.$What is the probability that a customer received a cash advance?

$2.$What is the probability that a customer owed less than $$200$ and received a cash advance?

$3.$What is the probability that a customer owed less than $$200$ or received a cash advance?

$4.$Given that the customer$-$owned $$1000$ or more, what is the probability that the customer received a cash advance?

$5.$Are the events "receiving a cash advance" and "owning $$1000$ or more" independent? Explain why or why not.