Engineered Software

Distribution Basics - Practitioner's Exam


Sampling

Probability Density Function

Cumulative Distribution Function

Reliability Function

Hazard Function

Expectation

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  1. Ten units are placed on a test stand.  Failures occur after 5.2 hours, and 7.9 hours.  Testing is stopped after 12 hours.  This is an example of
    Single censoring
    A random sample
    Multiple censoring
    None of the above
  2. Fifteen units are placed on a test stand.  After the 3rd unit fails testing is ended.  This is an example of
    Multiple censoring
    Time censoring
    Type II censoring
    None of the above
  3. Fifteen units are placed on a test stand.  After the 100 days testing is ended.  This is an example of
    Multiple censoring
    Time censoring
    Type II censoring
    None of the above
  4. The area of the shaded region in the figure below represents
    The probability of a single item, chosen randomly having a length of 169
    The number of items in the population with a length less than 169
    The average probability of an item having a length of less than 169
    The probability of a single item, chosen randomly having a length of less than 169
    169.jpg (15664 bytes)
  5. The figure above is best described as
    A probability density function
    A cumulative distribution function
    A probability function
    A cumulative density function
  6. The figure below is best described as
    A probability density function
    A cumulative distribution function
    A probability function
    A cumulative density function
    cdf.jpg (16758 bytes)
  7. The reliability function
    Is the same as the probability density function
    Is equal to the area beneath the probability density function to the right of the value on the x-axis
    Is equal to the height of  the probability density function to the right of the value on the x-axis
    Is the inverse of the cumulative distribution function
  8. Which  function is a measure of the tendency to fail?
    probability density function
    failure rate function
    reliability function
    hazard function
  9. Which  function displays the instantaneous failure rate?
    probability density function
    failure rate function
    reliability function
    hazard function
  10. The mean of a discrete or continuous distribution is
    the point where 50% of the values are to the right and 50% are to the left
    its center of gravity
    the point where most of the values occur
    all of the above
  11. Which of the following is true concerning the figure below?
    the population represented by the solid line has a higher probability than the distribution represented by the dashed line
    the population represented by the solid line has less variance than the distribution represented by the dashed line
    the population represented by the solid line has a higher skewness than the distribution represented by the dashed line
    all of the above are true

  12. Which of the following is true concerning the figure below?
    the skewness is positive
    it is right skewed
    the variance is positive
    all of the above are true

 

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