In a factory,that produces glass bottles, 5 number of bottles are defected in 1000 bottles produced. a) In a random sample of 100 bottles, calculate the probability that exactly 3 are defected? (Please solve this section with both Binomial and Poisson distributions) b) In a random sample of 100 bottles, calculate the probability that more than 4 are defected? c) Calculate the probability that the first defected bottle was in the 6th bottle?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CT: Chapter Test
Problem 29CT
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In a factory,that produces glass bottles, 5 number of bottles are defected in 1000 bottles produced.
a) In a random sample of 100 bottles, calculate the probability that exactly 3 are defected? (Please solve this section with both Binomial and Poisson distributions)
b) In a random sample of 100 bottles, calculate the probability that more than 4 are defected?
c) Calculate the probability that the first defected bottle was in the 6th bottle?

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