OISSON DISTRIBUTION 7) A box contains 500 eggs. On average, 0.6% of the eggs break by the time a box reaches a supermarket. Using Poisson approximation, find the probability that a box contains: a) Exactly three broken eggs b) Less than two broken eggs c) At least three broken eggs

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 19E
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POISSON DISTRIBUTION
7) A box contains 500 eggs. On average, 0.6% of the eggs break by the time a box
reaches a supermarket. Using Poisson approximation, find the probability that a box
contains:
a) Exactly three broken eggs
b) Less than two broken eggs
c) At least three broken eggs
8) On average, one out of 50 bags which is produced by a machine is considered
underweight. 80 bags were chosen randomly and check for any underweight bags.
Using Poisson approximation, find the probability that at least one bag is
underweight out of the 80 bags.
Transcribed Image Text:POISSON DISTRIBUTION 7) A box contains 500 eggs. On average, 0.6% of the eggs break by the time a box reaches a supermarket. Using Poisson approximation, find the probability that a box contains: a) Exactly three broken eggs b) Less than two broken eggs c) At least three broken eggs 8) On average, one out of 50 bags which is produced by a machine is considered underweight. 80 bags were chosen randomly and check for any underweight bags. Using Poisson approximation, find the probability that at least one bag is underweight out of the 80 bags.
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