A company producing fine crystal goblets has, in the past, experienced a defect rate of 10% in its goblets. Such goblets are designated as "seconds". Assume defective goblets are independent. a) With what probability will there be one "second" among six randomly selected goblets? b) with what probability will there be at least four "seconds" among twelve randomly selected goblets? c) What is the expected number of "seconds" among 50 goblets? What is the associated variance? Hint: Binomial Distribution
A company producing fine crystal goblets has, in the past, experienced a defect rate of 10% in its goblets. Such goblets are designated as "seconds". Assume defective goblets are independent. a) With what probability will there be one "second" among six randomly selected goblets? b) with what probability will there be at least four "seconds" among twelve randomly selected goblets? c) What is the expected number of "seconds" among 50 goblets? What is the associated variance? Hint: Binomial Distribution
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Transcribed Image Text:A company producing fine crystal goblets has, in the past, experienced a defect rate of 10% in
its goblets. Such goblets are designated as "seconds". Assume defective goblets are independent.
a) With what probability will there be one "second" among six randomly selected goblets?
b) with what probability will there be at least four "seconds" among twelve randomly selected
goblets?
c) What is the expected number of "seconds" among 50 goblets? What is the associated
variance?
Hint: Binomial Distribution
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