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Unformatted text preview: is given by P ( X ≤ 1 . 25) = F (1 . 25) = 5 32 = 0 . 156250 . 1 The probability that a student fnishes between 1.5 and 2 hours is P (1 . 5 < X < 2) = F (2)F (1 . 5) = 1. 5 = 1 2 . 4. We need the distribution Function. Using that For t ∈ (1 , 2) we have i t 1 f ( x ) dx = 22 t , we have F ( t ) = t < 1 22 /t 1 ≤ t < 2 1 2 ≤ t . To answer part (a) we want P ( X < 1 . 5) = F (1 . 5) = 22 * 2 3 = 2 / 3 . ±or part (b) we want P (1 < X < 1 . 25  X < 1 . 5) = P (1 < X < 1 . 25 , X < 1 . 5) P ( X < 1 . 5) = P (1 < X < 1 . 25) P ( X < 1 . 5) = F (1 . 25)F (1) F (1 . 5) = 22 / 1 . 25 (2 / 3) = 3 / 5 . 2...
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 Spring '08
 Anderson
 Probability, Probability theory, probability density function, dx

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