4. Random Process Let X (1) be a Random process, with mean x (t) = (t-1) and autocovariance Rx (11, 12) at time steps t₁, t₂ as follows: Rx (t₁,1₂)=t₁ + t₂ Find a. Mean of X(t) at time step 2. b. Autocovariance at time steps (1,5), variance of X(t) at time step 2 c. P(X(2) ≤ 1)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 1E
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4. Random Process
Let X(1) be a Random process, with mean ux(1) = (t– 1) and autocovariance Rx(t1,l2) at
time steps t1, tą as follows:
Rx(t1, t2) = t1 + t2
Find
a. Mean of X(t) at time step 2.
b. Autocovariance at time steps (1,5), variance of X(t) at time step 2
с. Р(X (2) < 1)
Transcribed Image Text:4. Random Process Let X(1) be a Random process, with mean ux(1) = (t– 1) and autocovariance Rx(t1,l2) at time steps t1, tą as follows: Rx(t1, t2) = t1 + t2 Find a. Mean of X(t) at time step 2. b. Autocovariance at time steps (1,5), variance of X(t) at time step 2 с. Р(X (2) < 1)
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