A random process increases linearly with time: Y(t) = at + X, where a is a constant and X is uniformly distributed on [−1, 1]. I appreciate it if you can help me how I can find cdf and pdf of the random process of Y(t) for = R+. I also need to find the mean, variance, autocorrelation function, and autocovariance function for Y(t).
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By inspection, $Y(t)\sim\operatorname{Uniform}(at-1,at+1)$. – Aaron Hendrickson Dec 04 '22 at 22:08
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What have you tried? It's important that you show some of your own work on the problem before others try to help you. – Christian E. Ramirez Dec 04 '22 at 22:12