CAPM (Certified Associate in Project Management) Practice Exam

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What formula is used for calculating the standard deviation for a beta distribution?

  1. standard deviation = (P-O)/6

  2. standard deviation = (P + O)/2

  3. standard deviation = (P-O)/4

  4. standard deviation = P - O

The correct answer is: standard deviation = (P-O)/6

A beta distribution is a probability distribution with two shape parameters, P and O. The standard deviation for a beta distribution is calculated using the formula (P-O)/6. The other options are incorrect because they either do not involve the shape parameters P and O, or use a different formula altogether. Option B uses the average of P and O, which is not representative of the spread of values in a beta distribution. Option C uses (P-O)/4, which is incorrect because the value of 4 is not commonly used in calculating standard deviation. Option D uses P - O, which would not take into account the shape parameters and cannot accurately represent the spread of scores. Therefore, option A is the correct choice for calculating the standard deviation of a beta distribution.