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    Basic Concepts in Probability Distributions

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    QUESTION 1
    A continuous uniform distribution U(100,200) will have the same standard deviation as a continuous uniform distribution U(200,300).
    True
    False

    QUESTION 2
    There is a simple formula for normal areas, but we prefer a table for greater accuracy.
    True
    False

    QUESTION 3
    The area under a normal curve is 1 only if the distribution is standardized N(0,1).
    True
    False

    QUESTION 4
    The area under an exponential curve can exceed 1 because the distribution is right-skewed.
    True
    False

    QUESTION 5
    The mean, median, and mode of a normal distribution will always be the same.
    True
    False

    QUESTION 6
    A continuous uniform distribution U(0,800) will have μ = 400 and σ = 230.94.
    True
    False

    QUESTION 7
    Any normal distribution has a mean of 0 and a standard deviation of 1.
    True
    False

    QUESTION 8
    For a continuous random variable, the total area beneath the PDF will be greater than zero but less than one.
    True
    False

    QUESTION 9
    Normal distributions differ only in their means and variances.
    True
    False

    QUESTION 10
    The height and width of a continuous uniform distribution's PDF are the same.
    True
    False

    QUESTION 11
    The exponential distribution is always skewed right.
    True
    False

    QUESTION 12
    If arrivals follow a Poisson distribution, waiting times follow the exponential distribution.
    True
    False.

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    Solution Preview

    QUESTION 1
    A continuous uniform distribution U(100,200) will have the same standard deviation as a continuous uniform distribution U(200,300).
    Standard deviation in case of U(100,200)=(200-100)/(12)^0.5=28.86751
    Standard deviation in case of U(200,300)=(300-200)/(12)^0.5=28.86751
    So, Correct option is
    True

    QUESTION 2
    There is a simple formula for normal areas, but we prefer a table for greater ...

    Solution Summary

    Solutions provide the correct options with suitable justification if necessary for each question.

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