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Math Help - normal distribution and probability HELP?

  1. #1
    Newbie Almondzqueen's Avatar
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    normal distribution and probability HELP?

    The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000 miles and a standard deviation of 1400 miles. What is the probability a particular tire of this brand will last longer that 58,600?


    what formula do I particularly use here?
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  2. #2
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    Y dsn N(60000,1400)

    So you want
    P(Y>58000) which can be converted to standard normal using
    \frac{y-\mu}{\sigma}=\frac{58000-60000}{1400}=-1.42857

    So
    P(Z>-1.42857)
    So you should be able to use a standard normal table to calculate this using symmetry..
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