If øx(@) is a characteristic function of a random variable X, then , (co) = 6, (@), where c is a real constant.
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- Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.Let X be a Gaussian random variable (0,1). Let M = ln(5*X) be a derived random variable. What is E[M]?X is an exponential random variable with λ =1 and Y is a uniform random variable defined on (0, 2). If X and Y are independent, find the PDF of Z = X-Y2
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