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A certain random process is created as a sum of a large number, , of sinusoids with random frequencies and random phases,
where the random phases θK are IID and uniformly distributed over and the random frequencies are given by are IID and uniformly distributed over while we will let the number of terms in the sum be .
(a) Write a MATLAB program to generate realizations of this random process.
(b) Assuming the process is stationary and ergodic, use a single realization to estimate the first-order PDF of the process fX(x).
(c) Assuming the process is stationary and ergodic, use a single realization to estimate the mean of the process µX
(d) Assuming the process is stationary and ergodic, use a single realization to estimate the autocorrelation function of the process
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Using the original data, estimate the population standard deviation with 90% probability.
It has been evaluated that 30% of all farms are family-owned. In sample of 12 farms, determine the probability that exactly 3 farms are family owned?
you are an engineer for bulbs lsquor us and youve developed a lightbulb that you claim consumes less than 5 watts per
(a) Prove that isomorphic graphs have the same number of vertices. (b) Prove that if f:V(G) -> V(H) is an isomorphism of graphs G and H and if v is an element of V(G), then the degree of v in G equals the degree of f(v) in H. (c) Prove that isomor..
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A package of cereal has a 12ounces net weight tag. The real weight has a normal distribution of 12 ounces and a standard deviation of 2.4 ounces. What percentage of the packages weight more than 10 ounces?
(c) Find the correlation matrix of the four independent variables. Is there evidence of multi collinearity? (d) Standardize each of the three independent variables x1, x2, and x3, and create a new variable that is the product of the standardized va..
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a computer program can make calls to two subroutines a and b. in a randomly chosen run let x be the number of calls to
The weekly salaries one year after graduation are normally distributed with a standard deviation of $85. If one graduate is randomly selected. Describe the distribution of the weekly salaries being earned one year after graduation.
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