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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.
Find the probability that a randomly picked cookie will have no raisins and find the probability that a randomly picked cookie will have exactly two chocolate chips.
A coin is flipped 5 times in a row. What is the probability that it will come up heads all 5 times? For the data in question above, calculate the Sum of Squares Error (SSE).
Simulate 50 observations from a normal distribution with mean 0 and standard deviation 1. make a normal plot.
suppose a disease kermyfrogulosis occurs in 1 out of every 100 people. if you have this disease and it goes untreated
Identify the sampling techniques used, and discuss potential sources of bias(if any). Explain.Using random digit dialing, researchers call 1400 people and ask what obstacles keep them from voting.
a pair of dice is rolled 270 times. using the normal curve approximation what is the probability that a total of 7
All but one of the following statements contain a blunder. Which one does not contain a blunder
1. A company uses three different assembly lines A1, A2, and A3 to manufacture a particular component. Of those manufactured by line A1, 5% need re- work to remedy a defect, whereas 8% of A2 s components need rework and 10% of A3 s need re- work. Sup..
suppose the u.s. president wants an estimate of the proportion of the population who support his current policy toward
On the same chart, produce a graph showing the original probability mass function, and a line graph showing your selected continuous probability density function.
Nielsen publishes a weekly ranking of television programs as well as a weekly ranking of four major networks: ABC, CBS, NBC, and Fox. What kinds of decision or actions are based on the Nielsen rankings?
listed below are systolic blood pressure measurements in mm hg obtained from the same woman. find the regression
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