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    probability

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    1. A city had an average of 2.6 lightning storms per month. What is the probability of at least 3 lightning storms during a month?

    A. 12.26%
    B. 21.76 %
    C. 26.40%
    D. 48.16%
    E. none of the above

    2. If the number of miles per gallon (mpg) achieved by cars of a particular model has a mean of 25 and a standard deviation of 2, what is the probability that, for a random sample of 20 such cars, the average mpg will be less than 24? Assume population distribution is normal.

    A. 0.125
    B. .1443
    C. .2875
    D .3026
    E. none of the above

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    https://brainmass.com/statistics/probability/statistics-poisson-and-normal-distributions-140200

    Solution Preview

    1. A city had an average of 2.6 lightning storms per month. What is the probability of at least 3 lightning storms during a month?

    A. 12.26%
    B. 21.76 %
    C. 26.40%
    D. 48.16%
    E. none of the above

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    The answer is D) 48.16%.

    Denote by X the number of lightning storms per month. We know that X follows ...

    Solution Summary

    It provides examples of calculating the probabilities when the samples follow Poisson distribution and normal distribution, respectively.

    $2.19

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