Question: Goop Inc. needs to order a raw material to make a special polymer. (Assume that one gallon of raw material yields one gallon of polymer.)

Goop Inc. needs to order a raw material to make a special polymer. (Assume that one gallon of raw material yields one gallon of polymer.) If demand is more than Goop can make, then Goop sells only what they made and the rest of demand is lost.

Suppose the demand for the polymer (for the upcoming selling season) is forecasted to be normally distributed with a mean of 275 gallons and a standard deviation of 100 gallons. If Goop purchases 175 gallons of raw material, what is the probability that they will run out of raw material?

(Use the z-table from the lecture notes, and choose the closest answer.)

Multiple Choice

50.00%
15.87%
84.13%
11.00%

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