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An automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally distributed, with mean μ = 117cm and standard deviation σ = 2.1 cm.

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An automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally distributed, with mean μ = 117cm and standard deviation σ = 2.1 cm.

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Important information 1:
Important information 2:

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a)	Find the probability that one randomly selected unit has a length greater than 120 cm.

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a)	Find the probability that one randomly selected unit has a length greater than 120 cm.

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Before answering: The question is asking you to work out P ( ?  ), which formula you will use?

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b)	Find the probability that if three units are randomly selected, all three have lengths exceed 120 cm.

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b)	Find the probability that if three units are randomly selected, all three have lengths exceed 120 cm.

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Before answering: The question is asking you to work out P ( ?  ), which formula you will use?

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c)	Find the probability that if three units are randomly selected, their mean length exceeds 120 cm.

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c)	Find the probability that if three units are randomly selected, their mean length exceeds 120 cm.

# data[].attributes.body
Before answering: The question is asking you to work out P ( ?  ), which formula you will use?

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X̅   μ   σ