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The daily output of a production line varies according to a normal distribution with a mean (µ ) of 163 units and a standard deviation (? ) of 3.5.Find the probability that the daily output will fall below 160 units.

Find the probability that the daily output will exceed 170 units.

  • What proportion of the output will fall between 160 and 165 units?

  • The production manager wants to tell his boss, “80% of the time our production is at least X units.” What number should he use for X?

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