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Unformatted text preview: in order to meet the regulation? Assume that the volume of serum in a vial is normally distributed. 3. Which of the following functions can represent a probability density functions for some random variable? For such functions, ﬁnd the corresponding cumulative distribution functions. a) f ( x ) = if x < if x > 11 if 0 < x < 1 b) f ( x ) = 0 if x < 0 if x > 1 1 if 0 < x < 1 c) f ( x ) = if x < if x > 10 / 11 1 . 1 if 0 < x < 10 / 11 d) f ( x ) = if x < if x > 1 1 . 1 if 0 < x < 1 e) f ( x ) = ‰ if x < 5exp(5 x ) if x > 1 f) f ( x ) = ‰ if x < 5(exp(5 x ). 1) if x > g) f ( x ) = 1 √ 2 π exp(x 2 ) 4. Find the value of C such that f ( x ) is a probability density function for some random variable. a) f ( x ) = ‰ if x < C exp(λx ) if x > b) f ( x ) = C exp(λ  x  ) c) f ( x ) = if x < Cx if 0 < x < 3 if x > 3 2...
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 Spring '08
 Perevalov
 Normal Distribution, probability density function, pharmaceutical company, Cumulative distribution function, ﬁnancial loss probability

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