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A random variable X takes values between 0 and 4 with a cumulative dis.pdf

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A random variable X takes values between 0 and 4 with a cumulative distribution function F ( x ) = 16 x 2 for 0 x 4 a) What is P ( X 2 ) ? b) What is P ( 1 X 3 ) ? c) Construct the probability density function. d) What is the expected value of this random variable? e) What is the median of this random variable?.

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A random variable X takes values between 0 and 4 with a cumulative distribution function F ( x ) = 16 x 2 for 0 x 4 a) What is P ( X 2 ) ? b) What is P ( 1 X 3 ) ? c) Construct the probability density function. d) What is the expected value of this random variable? e) What is the median of this random variable?

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