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A manufacturer ships toasters in cartons of 10. In each carton, they estimate a

ID: 3263062 • Letter: A

Question

A manufacturer ships toasters in cartons of 10. In each carton, they estimate a 10% chance that one of the toasters will need to be sent back for minor repairs. In a batch of 5,000 toasters, what are the chances that fewer than 450 need to be returned?
The probability that fewer than 450 toasters need to be returned is? _______ A manufacturer ships toasters in cartons of 10. In each carton, they estimate a 10% chance that one of the toasters will need to be sent back for minor repairs. In a batch of 5,000 toasters, what are the chances that fewer than 450 need to be returned?
The probability that fewer than 450 toasters need to be returned is? _______
The probability that fewer than 450 toasters need to be returned is? _______

Explanation / Answer

here n = 5000

p = 10% = 0.1 1-p= 0.9

x=450

P(x) = (nCx)(p^x)[q^(n-x)]

P(x<450)=5000C450*0.1^450(0.9^4550)=0.0079

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