Illustration 73. Using Poisson's approximation to the Binomial distribution, solve the following problem : If the probability that an individual suffers a bad reaction from a particular injection is 0.001, determine the probability that out of 2000 individuals (i) exactly three, and (ii) more than two individuals will suffer a bad reaction (Given, e-² = 0.13534)

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Illustration 73.
Using Poisson's approximation to the Binomial distribution, solve the following
problem :
If the probability that an individual suffers a bad reaction from a particular
injection is 0.001, determine the probability that out of 2000 individuals (i) exactly
three, and (ii) more than two individuals will suffer a bad reaction (Given,
e-² = 0.13534)
Transcribed Image Text:Illustration 73. Using Poisson's approximation to the Binomial distribution, solve the following problem : If the probability that an individual suffers a bad reaction from a particular injection is 0.001, determine the probability that out of 2000 individuals (i) exactly three, and (ii) more than two individuals will suffer a bad reaction (Given, e-² = 0.13534)
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