### Find the probability that the daily output

##### Reference no: EM131229611

The daily output of a production line varies according to a normal distribution with a mean (µ ) of 163 units and a standard deviation (σ ) 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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