Eyeglassomatic manufactures eyeglasses for different retailers. In March 2010, they tested to see how many defective lenses they made, and there were 15.9% defective lenses due to scratches. Suppose Eyeglassomatic examined 15 pairs of eyeglasses. a) State the random variable. Select an answer

rv X = all pairs of eyeglasses that are scratched

rv X = is scratched

rv X = a randomly selected pair of eyeglasses that is scratched

rv X = a randomly selected pair of eyeglasses

rv X = the probability that a randomly selected pair of eyeglasses is scratched

rv X = the number of 15 randomly selected pairs of eyeglasses that are scratched

rv X= the number of randomly selected pairs of eyeglasses that are scratched

b) List the given numbers with correct symbols.

? p X n N X s = 15

? N X n p X s = 0.159

c) Explain why this is a binomial experiment. Check all that apply.

There is not a fixed number of pairs of eyeglasses

Whether or not one randomly selected pair of eyeglasses is scratched will affect whether or not another randomly selected pair of eyeglasses is scratched

There are a fixed number of pairs of eyeglasses, 15

Whether or not one randomly selected pair of eyeglasses is scratched will not affect whether or not another randomly selected pair of eyeglasses is scratched

There are only two outcomes for each pair of eyeglasses

There are more than two outcomes for each pair of eyeglasses

p = 15.9% remains constant from one randomly selected pair of eyeglasses to another

Find the probability, to 4 decimal places:

It is possible when rounded that a probability is 0.0000 d) exactly none are scratched. e) exactly 8 are scratched. f) at least 6 are scratched. g) at most 9 are scratched. h) at least 9 are scratched. i) Is 9 an unusually high number of pairs of eyeglasses that are scratched in a sample of 15 pairs of eyeglasses? Select an answer

Yes, because P(X = 9) <= 0.05

Yes, because P(X <= 9) <= 0.05

Yes because P(X >= 9) <= 0.05

Yes, because P(X = 9 > 0.05

Yes, because P(X <= 9) > 0.05

Yes, because P(X >= 9) > 0.05

No, because P(X = 9) <= 0.05

No, because P(X <= 9)<= 0.05

No, because P(X >= 9) <= 0.05

No, because P(X = 9) > 0.05

No, because P(X <= 9 )> 0.05

No, because P(X >= 9) > 0.05