(a) What percentage of all cargos may be expected to be damaged? (b) If a damaged cargo is received, what is the probability that is was shipped by land? By sea? By air?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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1[.
There are three modes of transporting material from New York to Florida, namely, by land,
sea, or air. Also land transportation may be by rail or highway. About half of the materials are
transported by land, 30% by sea, and the rest by air. Also, 40% of all land transportation is bay highway
and the rest is by rail shipments. The percentage of damaged cargo are, respectively. 10% by highway,
5% by rail, 6% by sea, and 2% by air.
(a) What percentage of all cargos may be expected to be damaged?
(b) If a damaged cargo is received, what is the probability that is was shipped by land? By sea? By air?
Transcribed Image Text:1[. There are three modes of transporting material from New York to Florida, namely, by land, sea, or air. Also land transportation may be by rail or highway. About half of the materials are transported by land, 30% by sea, and the rest by air. Also, 40% of all land transportation is bay highway and the rest is by rail shipments. The percentage of damaged cargo are, respectively. 10% by highway, 5% by rail, 6% by sea, and 2% by air. (a) What percentage of all cargos may be expected to be damaged? (b) If a damaged cargo is received, what is the probability that is was shipped by land? By sea? By air?
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