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The probability of a manufacturing defect in an aluminum beverage can is .00008 if 100,600 cans...

The probability of a manufacturing defect in an aluminum beverage can is .00008 if 100,600 cans are produced find the following

a) at least 7 defective cars

b) at least 8 defective cars

Math   Statistics-And-Probability   
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Answer #1

Given :

p = 0.00008

n = 100,600

X : number of defect beverage can

To calculate :

1) the probability of at least 7 defective cars

2) the probability of at least 8 defective cars

Here we use the Poisson approximation binomial distribution.

Therefore a) the probability of at least 7 defective cars is 0.5537

b) the probability of at least 8 defective cars is 0.4142

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