Posted by **Maria** on Saturday, February 13, 2010 at 11:20am.

If the life in years, of a television set is normally distributed with a mean of 46 years and a standard deviation of 4 years, what should be the guarantee period if the company wants less than 3% of the television sets to fail while under warranty?

- Finite Math -
**drwls**, Saturday, February 13, 2010 at 12:07pm
That would be about two sigma less than the mean, but did you really mean 46 years mean life? No one keeps a TV set that long, nor is there accurate lifetime data available.

- Finite Math -
**Maria**, Saturday, February 13, 2010 at 2:48pm
I know but that's what the question asked.

Thanks

- Finite Math -
**drwls**, Saturday, February 13, 2010 at 3:38pm
In that case, 97% will last longer than 38 years.

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