SOLUTION: Samples of laboratory glass are in small, light packaging or heavy,large packaging. Suppose that 2 and 1% of the sample shipped insmall and large packages, respectively, break duri

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Question 416278: Samples of laboratory glass are in small, light packaging or heavy,large packaging. Suppose that 2 and 1% of the sample shipped insmall and large packages, respectively, break during transit. If60% of the samples are shipped in large packages and 40% areshipped in small packages, what proportion of samples break duringshipment?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
2% or 40% of shipments break (small pkgs) and
1% of 60% of shipments break (large okgs)
Let x = number of shipments
------------
proportion that breaks = +%28+.02%2A.4%2Ax+%2B+.01%2A.6%2Ax%29%2Fx
%28+%28.008+%2B+.006%29%2F1%29%2A%28x%2Fx%29 the x's cancel)
++.014+%2F+1++=+.014+
1.4% of samples beak during shipment