OCR S1 2007 January — Question 4

Exam BoardOCR
ModuleS1 (Statistics 1)
Year2007
SessionJanuary
TopicDiscrete Probability Distributions
TypeModal value or most probable value

4 Each of the variables \(W , X , Y\) and \(Z\) takes eight integer values only. The probability distributions are illustrated in the following diagrams.
\includegraphics[max width=\textwidth, alt={}, center]{43f7e091-9ae7-4373-a209-e2ebdba5260f-3_437_394_397_280}
\includegraphics[max width=\textwidth, alt={}, center]{43f7e091-9ae7-4373-a209-e2ebdba5260f-3_433_380_397_685}
\includegraphics[max width=\textwidth, alt={}, center]{43f7e091-9ae7-4373-a209-e2ebdba5260f-3_428_383_402_1082}
\includegraphics[max width=\textwidth, alt={}, center]{43f7e091-9ae7-4373-a209-e2ebdba5260f-3_425_376_402_1482}
  1. For which one or more of these variables is
    (a) the mean equal to the median,
    (b) the mean greater than the median?
  2. Give a reason why none of these diagrams could represent a geometric distribution.
  3. Which one of these diagrams could not represent a binomial distribution? Explain your answer briefly.