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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.

    © BrainMass Inc. brainmass.com September 26, 2022, 9:07 am ad1c9bdddf
    https://brainmass.com/statistics/data-collection/basic-concepts-probability-distributions-603157

    SOLUTION This solution is FREE courtesy of BrainMass!

    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 accuracy.
    False

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

    QUESTION 4
    The area under an exponential curve can exceed 1 because the distribution is right-skewed.
    False, total area should be equal to 1

    QUESTION 5
    The mean, median, and mode of a normal distribution will always be the same.
    True
    QUESTION 6
    A continuous uniform distribution U(0,800) will have μ = 400 and σ = 230.94.
    Mean=(0+800)/2=400
    Standard deviation in case of U(0,800)=(800-0)/(12)^0.5=230.9401
    Correct option is True

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

    QUESTION 8
    For a continuous random variable, the total area beneath the PDF will be greater than zero but less than one.
    The total area beneath the PDF of a continuous random variable will be equal to 1
    False

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

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

    QUESTION 11
    The exponential distribution is always skewed right.
    True

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

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com September 26, 2022, 9:07 am ad1c9bdddf>
    https://brainmass.com/statistics/data-collection/basic-concepts-probability-distributions-603157

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