Question

Outerwear Co. makes two different jackets, Jacket A and Jacket B. Jacket A's fill is computed...

Outerwear Co. makes two different jackets, Jacket A and Jacket B. Jacket A's fill is computed to be normally distributed with a mean of 6mm, and a standard deviation of 2mm.

Outerwear Co. provides a 5 year warranty on Jacket A, but in order to last that much, the down-fill should be ≧ 4.7mm or otherwise the jacket is sold as Jacket B (3.5 year warranty).

  1. If Outerwear Co. wants that 45% of the jackets produced should be sold as Jacket B (say per market demand), then what should be the down-fill threshold set as (formerly set as 4.7mm)?
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