SOLUTION: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 10.7 years, and standard deviation of 2.7 years. The 6% of items with the shortest lif

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Question 1154937: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 10.7 years, and standard deviation of 2.7 years.
The 6% of items with the shortest lifespan will last less than how many years?

Answer by VFBundy(438)   (Show Source): You can put this solution on YOUR website!
The first thing you want to do is go to a z-table and find the z-score where the area to the left of the curve is 0.06. That result is -1.55.

= -1.55

x - 10.7 = -1.55(2.7)

x - 10.7 = -4.185

x = 6.515

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