A worker is chosen randomly from among those who have had a back injury. Calculate the probability that the worker's job involves moderate or heavy lifting.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A chiropractor studies back injuries from a
steel mill. The chiropractor finds that 30% of
the workers do no lifting on the job, 30% do
moderate lifting, and 40% do heavy lifting.
During a given year, the probability of hav-
ing an injury is 0.05 for a worker who does no
lifting, 0.1 for a worker who does moderate
lifting, and 0.22 for a work who does heavy
lifting.
A worker is chosen randomly from among
those who have had a back injury. Calculate
the probability that the worker's job involves
moderate or heavy lifting.
Transcribed Image Text:A chiropractor studies back injuries from a steel mill. The chiropractor finds that 30% of the workers do no lifting on the job, 30% do moderate lifting, and 40% do heavy lifting. During a given year, the probability of hav- ing an injury is 0.05 for a worker who does no lifting, 0.1 for a worker who does moderate lifting, and 0.22 for a work who does heavy lifting. A worker is chosen randomly from among those who have had a back injury. Calculate the probability that the worker's job involves moderate or heavy lifting.
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