statistics

From past experience, an airline has found the
luggage weight for individual air travelers on its trans-
Atlantic route to have a mean of 80 pounds and a
standard deviation of 20 pounds. The plane is
consistently fully booked and holds 100 passengers.
The pilot insists on loading an extra 500 pounds of fuel
whenever the total luggage weight exceeds 8300 pounds.
On what percentage of the flights will she end up having
the extra fuel loaded?

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  1. Z = (score-mean)/SD = (83-80)/20 = ?

    Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion/percentage related to that Z score.

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