11. Explain how we know that (1 – x)? is the generating function for 1, 2, 3, 4, ....

Q: 2. Let {N(t),t 2 0} be a renewal process and (X,,X,, X,.-be the corresponding interarrival times.…

A: A renewal process is a stochastic model that occurs at random and is temporal based. The process…

Q: 6. Evaluate the z transform of x(n) = a-"u(n).

A:

Q: 10. If E X=5' ,r=1,2,3,.., find M(t), the moment generating function of X, and the p.d.f. of X.

A: Given:  rth moment of random variable x  E(X^r)= 5^r   : r=0,1,2,..... To find moment generating…

Q: 4. (a) Show that T and T2 are equivalent statistics if, and only if, we can write T, = H(T1) for…

A: b.  T2 = ∑i=1n log xi      =log (x1) + log (x2) + ... + log (xn)     = log (x1x2....xn)…

Q: (a) Calculate the moment generating function for X. (b) Use the moment generating function to…

A:

Q: to find the z-transforms of following: {ak-3} (3k-4)

A:

Q: 1 Find linearization L(x) of ƒ (x) = x + - at a=1.

A: Given: f(x)=x+1x , a=1

Q: Find the inuerse Transform of the follawing: FG) + 4 3-3 - S-8 35?+12

A:

Q: 3. Suppose the population of Winneba is approximated by P(t) = P,e03, where t is measured in years…

A:

Q: Exercise 3.72 Prove from the generating function that fn – 11 |k – 1 k

A: To Prove that,

Q: 2. A recent newspaper article stated the average income for people living on Sine Street was…

A: Given information: Name Income Baker  $500,000 Smith  $220,000  Simpson  $70,000 Ford…

Q: a) What is the generating function for {ak}, where akis the number of solutions of x1 + x2 + x3 = k…

A:

Q: What are the Even-odd decompositions?

A:

Q: Determine the z-transform of the following: n 20 x(n) = n<0 O · </²/<2 5 3 1-²-(1-22-1) 5 3 1 -z 3…

A: Z transform of the function

Q: Determine discrete numeric function corresponding to the following generating function: A(Z)=1/1-Z³

A: Given generating function is A(z)=11-z3 We can write it as A(z)=1-z3-1⇒A(z)=1+z3+z6+z9+....

Q: What is the z transform of x(n) = 25(n+ 1)+ 7õ(n)+ 55(n – 1) + 20(n – 2) 2z + 7+ 5z-1+ 2z-2 2z + 7+…

A:

Q: How does Abel's Identity allow us to conclude that if the Wronskian is 0 at a point t, then the…

A: To prove: By Abel's identity conclude that if Wronskian is 0 at a point t, then the Wronskian is…

Q: use the beta function to compute P(3<Y≤5).

A:

Q: 12. Start with the identities x2 1 P, (x) = xPn-1(x) + *P(x) n P, (x) = xP-1(x) + nP,-1(x ) (a) Show…

A:

Q: 1. Use the eigen value technique to find the limiting probability as n → ∞ 0.5 0.5 0.3 0.7 P = 0.4…

A:

Q: Suppose that each year, 80% of residents living in state A stay in state A, while 20% of them move…

A:

Q: A2. a. A company decided to distribute 5 identical computers among its employees. In how many…

A: A2.a.  There are 5 identical computers and three people  We  need to distribute in such a way such…

Q: 0 40 0 0 0 0 40 0 Let S =0 0 0 4 0 Compute s for k = 2, ., 6. 0 0 0 0 4 0 0 0 0 0

A: We can solve this using formula of power of matrix

Q: Suppose X1, X2, and X3 are independent and N(0.1)-distributed. Com- pute the moment generating…

A: Given function Y= X1X2+X1X3+X2X3 We have to calculate moment generating function

Q: 6 -1 Let A =| 0 -2 and B . Compute (AB)". Show your work. 4 3

A:

Q: 3. If the pdf is -a<x<a ,Find the generating function( express your answer in 2a simplified form)

A:

Q: Example 12.32. Four jobs are to be done on four different machin es) of producing ith job on the jth…

A: Number of rows = 4 Number of columns = 4 Therefore the problem is balanced find the minimum element…

Q: Suppose that the growth of a population of bumblebees follows the recursion model, Pt+1 =a Pt when…

A: The given model is a time series model or more specifically it is an auto regressive model of order…

Q: 1- Find Z-transform if x (n) = bln|

A: The given function is xn=bn To find its Z-transform.

Q: 1 What is the expansion of f (x) = 1-r OE(-1)"x" Ο Σ 2n

A:

Q: 5.Z-transform of {u(n) + 2"- nu(n) } is

A: Note:- As per our guidelines we are supposed to answer only one Question as this is multiple…

Q: 7. (Chapter 12.2, #6) The function f : Z × Z → Z defined by, f(m, n) = 3n 4m. -

A: Given a function f:Z×Z → Z  defined by fm,n=3n-4m. To find the range of the function. We can use the…

Q: Suppose X - Bernoulli (0.5) and Y ~ Exponential (2). Suppose further that X and Y are independent.…

A:

Q: 4. What is the z-transform (az)-1 (1-(az)-1)2 of the signal x(n)-na"u(n)? az-1 (1-(az)-1)2 (a) (b)…

A:

Q: 3 5 The Wronskian of {X2,x2}

A: The given set is: x32,x52

Q: Bb Announcements - Spring 2020-C X W a-concrete-introduction-to-highe X b My Questions | bartleby…

A: Let

Q: expand about z=1 (z+1)(z-2)*

A:

Q: The generators of Z_18 are: O {1,5,7,8,11} O {1 ,5,7,11,13,17} O {1,5,7,11} O {1,3,7,11} O O O

A: Note : the numbers which are less than 18 and co-prime to 18 are : 1, 5, 7, 11, 13, 17

Q: {3* + (-3)k + 3k}

A:

Q: a) What is the generating function for {ak}, where akis the number of solutions of x1 + x2 + x3 + x4…

A:

Q: 5.6.10. Consider the function f : N → N, ƒ(n)= n+ (-1)n+1. (a) Compute f(1), ƒ(2), f(3) and f(4).…

A:

Q: The market of a cosmetic product is divided into two competitors, Alpha and Beta. Suppose that Beta…

A: In the long run, there will be equilibrium. Let x% be the share of Alpha and y% be the share of beta…

Q: (a) Calculate the moment generating function for X. b) Use the moment generating function to…

A:

Q: 13+ 7+1 The long-run behavior of r(t) is 1+-t

A: Long run behavior of given function can be calculated using leading terms of numerator and…

Q: 1. Find the first-order derives:

A: Given,      4x2+715x4+534x3-37x6+15x-30

Q: 2.which of the ff.is the reverse process of chain rule?a additional rule b.product rule…

A: Reverse Process of Chain Rule:       The chain rule for derivatives allows to calculate the…