A company manufactures eyeglasses for different retailers. In March 2010, they tested to see how many defective lenses they made, and there were 17.5% defective lenses due to scratches. Suppose the compa examined twenty-one eyeglasses.

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Author:Ron Larson
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Chapter8: Sequences, Series,and Probability
Section8.7: Probability
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A company manufactures eyeglasses for different retailers. In March 2010, they tested to see how many
defective lenses they made, and there were 17.5% defective lenses due to scratches. Suppose the compa
examined twenty-one eyeglasses.
State the random variable.
The number of lenses that were scratched.
O The type of defect.
The number of defective lenses.
Round your answers to four decimal places, if necessary.
Find the probability that
None are scratched.
P(x = 0) =
All are scratched.
P(x = 21) =
At most eleven are scratched.
P(x < 13) =
At least thirteen are scratched.
P(x > 5) =
Is it unusual for at least thirteen lenses to be scratched?
No, because the probability is less than 0.05.
Yes, because the probability is at least 0.05.
O No, because the probability is
least 0.05.
Yes, because the probability is less than 0.05.
Transcribed Image Text:A company manufactures eyeglasses for different retailers. In March 2010, they tested to see how many defective lenses they made, and there were 17.5% defective lenses due to scratches. Suppose the compa examined twenty-one eyeglasses. State the random variable. The number of lenses that were scratched. O The type of defect. The number of defective lenses. Round your answers to four decimal places, if necessary. Find the probability that None are scratched. P(x = 0) = All are scratched. P(x = 21) = At most eleven are scratched. P(x < 13) = At least thirteen are scratched. P(x > 5) = Is it unusual for at least thirteen lenses to be scratched? No, because the probability is less than 0.05. Yes, because the probability is at least 0.05. O No, because the probability is least 0.05. Yes, because the probability is less than 0.05.
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