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    Example of calculation of the mean value and variance

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    The service life of an incandescent light bulbs used domestically was
    It was found that a light bulb can last up to 3 years, and the probability
    distribution of the number of years a light bulb was used before failure is given
    Years light bulb was used before failure (x) 0 1 2 3
    Probability of x years 0.1 0.3 0.5 0.1

    (i) What is the mean service life of a light bulb?
    (ii) What is the variance and standard deviation of a service life of a light

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    Solution Summary

    This is a simple problem showing how to calculate variance and mean value (average) in a probability problem.