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?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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