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Unformatted text preview: 1) and look up the answer in a table. P ( X >1 . 12) = P ´ X5 10 >1 . 125 10 µ = P ( Z >. 612) = P ( Z < . 612) ≈ P ( Z < . 61) = 0 . 7291 . We can say P ( Z >. 612) = P ( Z < . 612) since the pdf of the Z curve is symmetric about zero. 3. The lifetime of a particular integrated circuit has an exponential distribution with mean 2 years. Find the probability that the circuit lasts longer than three years. (7 points) Answer: Recall that the Exponential distribution has a mean equal to β . Then in our problem β = 2 . P ( X > 3) = Z ∞ 3 1 2 ex/ 2 dx = 1 2 ± ex/ 21 / 2 ² ² ² ∞ 3 ³ =± lim L> ∞ eL/ 2e3 / 2 ³ =´e3 / 2 µ = e3 / 2 = 0 . 2231302 . 2...
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This note was uploaded on 12/13/2011 for the course STA 3032 taught by Professor Kyung during the Fall '08 term at University of Florida.
 Fall '08
 Kyung
 Statistics

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