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## The probability that a customer at a grocery store pays

The probability that a customer at a grocery store pays for their items with a credit or debit card (event C) is .78. The probability that the grocery bill for a customer is greater than \$100 (event H) is .37. The probability that a customer pays with a credit or debit card given that his or her grocery bill was greater than \$100 is .95.

(a) What is the probability that a customer pays with a credit or debit card and his or her grocery bill was greater than \$100?

(b) What is the probability that a customer’s grocery bill was over \$100 given that he or she paid with a credit or debit card?

(c) In this problem, are C and H independent? Explain.

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