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Unformatted text preview: X is F X ( x ) = , x < 0; x/4 , ≤ x ≤ 4; 1 , x > 4. Calculate the following probabilities 1. P [ Y ≤ 1] 2. P [2 < Y ≤ 3] 3. P [ Y ≤ 1] 4. P [ Y > 1 . 5] 3 Question 3 Random variable X has probability density function f X ( x ) = b cxex/ 2 , x ≥ 0; , otherwise. Find the following 1. the constant c 2. P [0 ≤ X ≤ 4] 3. The CDF F X ( x ) 4. P [2 ≤ X ≤ 2] 4...
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 Spring '08
 Ferry
 Probability distribution, Probability theory, probability density function, Cumulative distribution function, Department of Systems Engineering

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