Solve step by step, explaining clearly and with the graphics 1 A discrete-time signal x(n) is defined as1+³½³,−3 ≤ n ≤ −11,0 ≤ n ≤ 3elsewherex(n)=0,(a) Determine its values and sketch the signal x(n).(b) Sketch the signals that result if we:1. First fold x(n) and then delay the resulting signal by four samples.2. First delay x(n) by four samples and then fold the resulting signal.(c) Sketch the signal x(-n + 4).(d) Compare the results in parts (b) and (c) and derive a rule for obtaining the signalx(-n+k) from x(n).(e) Can you express the signal x(n) in terms of signals 8(n) and u(n)?

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Answered: 1 A discrete-time signal x(n) is…

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.4: Hyperbolas

Problem 5ECP: Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.

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4. (a) Consider a nonnegative, integer valued random variable Y , and a random sample X1,., Xn. + Xy) in terms of E(X1) Assume Y and all the X;'s are independent. Find E(X1+ and E(Y). ... (b) Suppose each person who logs onto Amazon.com on Christmas Eve is expected to spend $80. One hundred people are randomly chosen to see how much is spent by them. Each of them visits Amazon.com with probability 60%. How much money do we expect this group of people to spend at Amazon.com?
I roll a die with 10 faces numbered 0-9 and obtain a score X. What is E(X)? In order to obtain a random number between 0 and 99 I roll the die twice obtaining scores X and Y, then set Z = 10X + Y (i.e., the first roll determines the "tens", the second roll the "ones"). Is it true to say that E(Z) = 10E(X) + E(Y)?
(d) Experiment: measure the quantities a, b, c (in cm) of rainfall in a day at each of three weather stations A, B and C. Event: it is driest at station A. 2. Suppose we have 2=[0,9]={xR;0
3. Poisson process has intensity of a > 0 arrivals/occurrences per hour. Suppose that exactly one arrival/occurrence occurs in the first hour. Let T be the time at which this arrival/occurrence happens, measured in hours (Thus, the possible values of T are real numbers in the interval [0,1]) (a) What is P (0 T< t) forte [0,1]? Note that we are conditioning on exactly one occurrence/arrival during the first hour. Hint: Consider the number of occurrences/arrivals in the interval [0, t] and in the interval (t, 1], and then it becomes similar to Q2 above. (b) What is the cumulative distribution then of T under the same conditions?
Let a : V → W be a linear map for vector spaces V, W over R, V₁, V2, V3, V4 a basis of V and w₁, W2, W3 a basis of W. Suppose that the corresponding matrix 0 2 -1 0 with respect to these bases is A = 1 0 -1 −1 0 3 0 3
1. Let (X) be a simple random walk that starts from Xo = 0 and on each step goes up one with %3D probability p and down one with probability q = 1 – p. Calculate: (a) P(X, = 0), (b) EX., (c) Var(X6), (d) E(X10 | X4 = 4). (e) P(X19 = 0 | Xg = 2), (f) P(X, = 2| X 10 = 6). Consider the case p = 0.6, so q = 0.4. (g) What are EX100 and Var(X100)? (h) Using a normal approximation, estimate P(16 S X100 S 26). You should use an appropriate "continuity correction", and explain why you chose it. (Bear in mind the possible values X00 can take.)
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1.1 Consider Y₁, Y2, ‚Yn are i.i.d. random variables with n > 4 and T is the sample mean Y. Also let W = 1 Y¿. Then (A) E(Y₁ +Y₂|W) = E(Y₁+Y₂) (B) E(W|T) = E(Y₁|T) (C) E(Y₁+W|W) = E(Y3 + Y4|W) (D) none of the above.
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