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GroupDiscussion2

# GroupDiscussion2 - X< 7,P X ≤ 13 and P X ≥ 3 2 Let X...

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ISyE 2027 Group Discussion 2 June 7, 2010 0. Review 1. What is a continuous random variable? 2. How to compute the probability distribution of a continuous random variable? 3. What are the properties of a probability density function? 1. Let X be a continuous random variable with probability density function f X given by f X ( x ) = c if 2 x 10 0 otherwise 1. Determine the value of the constant c . 2. Calculate P ( X 2) , P
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Unformatted text preview: ( X < 7) ,P ( X ≤ 13) and P ( X ≥ 3). 2. Let X be a continuous random variable with probability density function f X given by f X ( x ) = ± 2 e-2 x x > x ≤ 1. Is f X a probability density function? Why? 2. Calculate P ( X ≤ 2) and P ( X < 2). 3. Calculate P ( X > 2), and P ( X > 3). 4. Calculate P ( X > 5 | X > 2). What do you learn from it? 1...
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• Spring '11
• x
• Probability distribution, Probability theory, probability density function, continuous random variable, Continuous probability distribution

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