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3) The length of time to complete a door assembly on a automobile factory assembly line is normally distributed with mean = 6.7 minutes and standard deviation = 2.2 minutes. For a door selected at random, what is the probability the assembly line will be

a) 5 minutes or less

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Solution: Letbe the random length of time to complete a door assembly. The probability we are looking for is

b) 10 minutes or less

Solution: We need to find

c) between 5 and 10 minutes

Solution: Now we need to find

d) more then 10 minutes

Solution: Finally,

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