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A well known apple juice production company maintains records
concerning the number of unacceptable containers of apple juice obtained
from the filling and capping machines. Based on past data, the
probability that a container came from machine I and was nonconforming
is 0.035 and the probability that a container came from machine II and
was nonconforming is 0.02. These probabilities represent the probability
of one container out of the total sample having the specified
characteristics. Half the containers are filled on machine I and the
other half are filled on machine II.
- If a filled container of juice is selected at random, what is the probability that it is an acceptable container?
- If a filled container of juice is selected at random, what is the probability that it was filled on machine II?
- If a filled container of juice is selected at random, what is the
probability that it was filled on machine I and is an acceptable
container?