Weekly production output at the plant about

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Weekly production output at the plant approximately normally distributed with mean equal to 150,000 units per week, and the standard deviation - 12,000 units. Find the probability that the weekly output:
a) exceeds 170,000 units;
b) is below 100,000 units this week?
c) Assume that any labor demands, and weekly output was lower than 90,000 units. Managers accused the union in an unprecedented fall in output and the union argues that the output is within the accepted level (± 3σ). Can you trust the union?

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