Unformatted text preview: m such that a resistor has the same probability of lasting more than m hours as lasting less than m hours. 4. David buys a used radio from a friend who bought it new 3 years ago. The radio is in working order. (a) Assuming the lifetime of a radio is exponentially distributed and lasts an average of 7 years, compute the probability that David will enjoy his radio for at least 5 years. (b) Answer the same question, now assuming the lifetime of a radio has PDF f ( x ) = (4 / 21) x e(2 / 7) x , x > . (Note: the expected lifetime is also 7 years here.) 5. X has the following probability density function f ( x ) = C 1 + x 2 . ( X is said to have the Cauchy distribution .) Find the probability density function of (a) X 2 (b)  X  (c) p  X  ....
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 Fall '08
 Castro
 Normal Distribution, Probability, Variance, Probability theory, Exponential distribution, probability density function

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