The R program and figures are added below. For t, intervals of length 0.1 are considered.
R Program
#a
time=seq(0,1000,.1)
n=length(time)
x=numeric(n)
for(i in 1:n)
{
u=runif(1,-pi,pi)
x[i]=sin(2*pi*time[i]/100+u)
}
plot(time,x,xlab="t",ylab="X_t",main="(a)",col="red")
#b
time=seq(0,1000,.1)
n=length(time)
x=numeric(n)
for(i in 1:n)
{
u=runif(1,0,pi)
x[i]=sin(2*pi*time[i]/100+u)
}
plot(time,x,xlab="t",ylab="X_t",main="(b)",col="green")
4. consider a random process Xt Sin(TOOt+ φ). / nen/ent a 2π (a) Consider φ ~...
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