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1. A zero-mean Gaussian random signal has the autocorrelation function of the form γX(τ) = 10e-0.1|τ| cos 2πτ.
Write the covariance matrix for the signal sampled at four time instants separated by 0.5 seconds.
2. Find the joint p.d.f. of the signal from Exercise 8.5.1 at t1 = 1 and t2 = 2.5. Write the integral formula for P(0 ≤ X(1) ≤ 1, 0 ≤ X(2.5) ≤ 2). Evaluate the above probability numerically.
The original requirements of the sample. Explain the trade-offs that will occur when you lower the sample to $10,000 to meet the budget.
If the answer cannot be calculated, enter zero (0) as your answer. Round to 4 decimal places otherwise. YES, you need, therefore, to look at the 5th decimal place.
a student takes a calculus midterm and a history midterm. the mean and standard deviation on the calculus midterm are
Suppose a baseball player had 211 hits in a season. In the given probability distribution, the randon variable X represents the number of hits the player obtained in a game. Compute and interpret the mean of the random variable x.
the world health organizations w.h.o. recommended daily minimum of calories is 2600 per individual. the average number
What is the probability that a random sample of 49 different one-hour shopping periods will yield a sample mean between 441 and 446 shoppers - Compute the test statistic and Explain the choice of your test statistic. Use α = 0.05. Give the p-value.
let x have a poisson distribution with mean m. show that the most likely value for x to assume is m with the following
an advertisement for cold-ex claims an 40 percent end-of-treatment clinical success rate for the treatment of flu. 11
on average there is one flaw per 1000 feet of pipe. what is the probability that there is exactly one flaw in only
A small private midwestern university has been accused of favoring male applicants in its admissions process.
From a random sample we know that the average duration of unemployment in a low developed region A is 147 days (with standard deviation sA = 32 days and nA = 230 unemployed).
coefficient of variation and standard deviation are two measures of dispersion or spread among the data values. lets
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