# A production line is equipped with two quality

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4.A production line is equipped with two quality-control check points that tests all items on the line. At check point #1, 12% of all items failed the test. At check point #2, 15% of all items failed the test. We also know that 5% of all items failed both tests.(a)Set up a 2×2 probability table. [5 marks]
(b) What percentage of items failed at least one of the check points? [2 marks]
(c)What percentage of items passed checkpoint #1 but failed checkpoint #2? [2 marks]
(d) What percentage of items passed both check points? [2 marks]Pg. 4 of 5
OPMT 1130 Quiz #1ANSWER (Percentage, 2 decimal places): 5.Visa cross-classified 500 of its customers by their credit score and whether or not the customer is late on their current credit card payment. The results are summarized below: Late payment?Credit ScoreTotalBelow 600 600 to700Above700Yes5527688No70198144412Total125225150500(a) What percentageof customers are late on their current credit card payment? [2 marks]
(b) Among the customers with a credit card score above 700, what percentage are late on their current credit card payment? [2 marks]
(c)Among the customers with a credit card score of 600 or higher, what percentage are late on their current credit card payment? [3 marks]