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In this video you will learn how to use the given Moment Generating Function of a random variable in order to find the Standard deviation of this random variable. This video focuses on helping you prepare for the Society of Actuaries Exam P or Casualty Actuarial Society Exam 1.
An actuary determines that the claim size for a certain class of accidents is a random variable, X, with a moment generating function
M(t) = 1/(1-2500t)^4
Determine the standard deviation of the claim size for this class of accidents.
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