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A factory's worker productivity is normally distributed. One worker produces an average of 72 units per...

A factory's worker productivity is normally distributed. One worker produces an average of 72 units per day with a standard deviation of 21. Another worker produces at an average rate of 68 units per day with a standard deviation of 20.

A. What is the probability that during one week (5 working days), worker 1 will outproduce worker 2?

Note: I got an answer of .6685515, but it came up wrong. Please show work, I would really appreciate it.

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