SOLUTION: The time it takes to assemble an electronic component is normally distributed with a mean of 17.2 minutes and a standard deviation of 3.1 minutes. The probability is 95.05% that it

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Question 1142850: The time it takes to assemble an electronic component is normally distributed with a mean of 17.2 minutes and a standard deviation of 3.1 minutes. The probability is 95.05% that it will take at least how long to assemble a component?

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
1 - 0.9505 = 0.0495
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according to the table of z-values
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0.0495 probability is associated with a z-value of -1.65
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we know that
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(X - 17.2)/3.1 = -1.65
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X - 17.2 = 1.65 * 3.1 = -5.115
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X = -5.115 + 17.2 = 12.085 is approximately 12.1
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The probability is 95.05% that it will take at least 12.1 minutes to assemble a component
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