4 A supermarket uses two suppliers, C and D, of strawberries. Supplier C supplies 70% of the supermarket's strawberries. Strawberries are examined in a quality control inspection (QCI); 90% of the strawberries supplied by C pass QCI and 95% of the strawberries from D pass QCI. A strawberry is selected at random. a Find the probability that the strawberry passes QCI. b Given that a strawberry passes QCI, find the probability that it came from supplier D. c Ina sample of 2000 strawberries, find the expected number of strawberries that would fail QCI. C
4 A supermarket uses two suppliers, C and D, of strawberries. Supplier C supplies 70% of the supermarket's strawberries. Strawberries are examined in a quality control inspection (QCI); 90% of the strawberries supplied by C pass QCI and 95% of the strawberries from D pass QCI. A strawberry is selected at random. a Find the probability that the strawberry passes QCI. b Given that a strawberry passes QCI, find the probability that it came from supplier D. c Ina sample of 2000 strawberries, find the expected number of strawberries that would fail QCI. C
A First Course in Probability (10th Edition)
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4 A supermarket uses two suppliers, C and
D, of strawberries. Supplier C supplies
70% of the supermarket's strawberries.
Strawberries are examined in a quality
control inspection (QCI); 90% of the
strawberries supplied by C pass QCI and
95% of the strawberries from D pass QCI.
A strawberry is selected at random.
a Find the probability that the strawberry
passes QCI.
b Given that a strawberry passes QCI,
find the probability that it came from
supplier D.
c In a sample of 2000 strawberries, find
the expected number of strawberries
that would fail QCI.
d The supermarket wants the probability
that a strawberry passes QCI to be 0.93.
Find the percentage of strawberries that
should be supplied by D in order to
achieve this.
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