. 3. Consider the random processes {X}} and {X} }, where 27 x sin t + 1 01 - uniform(-1,9), 100 27 X? sin (100+ +02) 02
Posted: Sun Sep 05, 2021 5:13 pm
. 3. Consider the random processes {X}} and {X} }, where 27 x sin t + 1 01 - uniform(-1,9), 100 27 X? sin (100+ +02) 02 ~ uniform(0,7). (a) Plot a few simulations (say, five or six) of the {X}} process for t e 0, 1000). (b) Plot a few simulations (say, five or six) of the {X}} process for t e 0,1000). (c) What do the plots tell you about the difference between the process means at an arbitrary time t? Explain why do you see such difference. (d) For arbitrary te (0, 1000), compute E[X]] and E[X?). Remark on how these coincide with your response to the previous part.