# Probability

A brand of television has a lifetime that is normally distributed with a mean of 7 years and a standard deviation of 2.5 years.  What is the probability that a randomly chosen TV will last more than 8 years?

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The mean is 7 years, so there is .5 probability that it will last 7 years or more.

The standard deviation is 2.5, so one additional year is 1/2.5 = 0.4 S.D.

The probability that it will fail in that additional year is the probability table entry for 0.4 S.D. = .155 so the probability that it will last 8 years or more is .5 - .155 = .345

My last TV, a Mitsubishi, lasted 15+ years.

If a little knowledge is a dangerous thing, then that makes me a burning truck filled with TNT hurtling through a rocket fuel depot.

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