A manufacturer knows that their items have a normally distributed lifespan, with a mean of 10.3 years, and standard deviation of 0.5 years. The 6% of items with the shortest lifespan will last less than how many years? Give your answer to one decimal place.

MATLAB: An Introduction with Applications
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A manufacturer knows that their items have a normally distributed lifespan, with a mean of 10.3 years, and
standard deviation of 0.5 years.
The 6% of items with the shortest lifespan will last less than how many years?
Give your answer to one decimal place.
Transcribed Image Text:A manufacturer knows that their items have a normally distributed lifespan, with a mean of 10.3 years, and standard deviation of 0.5 years. The 6% of items with the shortest lifespan will last less than how many years? Give your answer to one decimal place.
Expert Solution
Step 1

Let , random variable X be the lifespan of items.  

The random variable X follows Normal distribution with mean μ=10.3 years and standard deviation σ = 0.5 years.  

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