[Q1] Suppose that we have ten CDs in a box. If we pick three, at random, how many different groups of three CDs can be obtained? -

Q: If X - P(3), find using the Poisson formula P(X = 8) (ii) P(X 2 3) (ii) P(X < 2)

A:

Q: Find an example for which (zc)d ≠ zcd with z ≠ 0

A: To find an example for which zcd≠zcd where z≠0 Now, for integers c and d zcd=zc·zc·zc····d…

Q: A container contains 35 green tokens, 20 blue tokens, and 3 red tokens. Two tokens are randomly…

A: From the given information, there are 35 green tokens, 20 blue tokens and 3 red tokens. Total number…

Q: (a) an = }(n² + n). (b) an = 2an-1 – an-2 with ao = 0 and aj = 1. (c) an = nan-1 with ao = 1. %3D

A:

Q: The area to the right of z =0.99 is Part 2 of 4 The area to the right of z = -1.78 is . Part 3 of 4…

A:

Q: 3 a. Suppose h(n)= 15n° + n and f(n) = 14n°. Is f(n)EN(h(n))? Use the definition of Omega notation.

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: Find the elements (a, b) of G of order 2. O Show that G has no element of order 3.

A:

Q: 3. Find the correct form of x(s) and stop. State x(s) as a single fraction. x" +7x' + 6x = 2t x(0) =…

A: Explanation of the answer is as follows

Q: 2. Find the value of the Euler phi-function at each of these integers- e) 10! b) 256 d) 2.3-5-7-11-…

A:

Q: The generating function of a_{n+1}=8a_{n}+4n*, where a,=3 is a. Σ2x)^k+Σ (4x) ^{k Ο b. Σ( 2x) ^{k}+…

A: To find the generating function of an+1=8an+4n+1 First multiplying the relation by xn and taking…

Q: Let a, b eR with a < b. Assume that a + <b - for all n e N. Show that n n=1

A:

Q: The number of the element(s) of order 2 in Z2 O D6

A:

Q: = x3 + x - rith starting d with the of x after the

A:

Q: In A, values of k for which det(A)=D0 are * k-4 0 0. A = k 3'k-1 O k=4, k=-3 , k=-2 O k=-4, k=-3,…

A: The given matrix is - A = k-4000k203k-1 We have to find the value of k for which the det(A) is equal…

Q: a) There is a unique [x] E Z6 such that [5] - [r] = [2] b) There is no [x] € Z6 such that [3] - [r]…

A: We use the multiplication table for Z6 to verify the given statements:

Q: S3 is not isomorphic to D3. Select one: True False

A: It is false that, S3 is not isomorphic to D3.

Q: @31 Find the nverse of the functions 1) fex) = 2x-1 2メ+) 2) fa)

A: The given functions are a fx=2x-1bfx=e2x+1We need to find the inverse of the above functions.

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: a.) Berechnen die folgenden Produkte: (2n)! n! m+1 k+7' m+2 b.) Sei n e N, führen Sie eine…

A:

Q: Find the string that has this generating function: a) (1− x)−3 b) (1+2x)−4 c) 1/(1 −3x)3

A:

Q: 3. Find the generator of X = Xo + µt + oWt, where W is a standa BM, and identify the PDE satisfied…

A: *Answer:

Q: The generating function of a_{n+1}=8a_{n}+4*, where a,=3 is Ο a. Σ2x)^+Σ (4x) ^Κ O b.…

A: Given an+1=8an+4n+1 Multiply the recurrence relation by xn an+1xn=8anxn+4n+1xn…

Q: The wavelength of light that has a frequency of 1.20 × 1013 s-1 is ________ m. Where: C = λνλν…

A:

Q: The characteristic of Z5[x]/ 3 5 O O C

A: Introduction: The characteristics of a field is either 0 or prime. Suppose, a polynomial fx is…

Q: If a composite ƒ   g is one-to-one, must g be one-to-one? Givereasons for your answer.

A: For two functions f,g composite of the two functions can be f∘g(x)=fg(x) or g∘f(x)=gf(x). A function…

Q: A container contains 35 green​ tokens, 10 blue​ tokens, and 2 red tokens. Two tokens are randomly…

A: There are 35 green​ tokens, 10 blue​ tokens, and 2 red tokens. So total (35+10+2)=47 tokens.   Given…

Q: Find the required D calculation value to test whether there is a difference between the two groups.…

A: Sign test is a non-parametric test used to find whether there exists a difference between the…

Q: Suppose a e Z. If a² is not divisible by 4, then a is odd.

A:

Q: B// findZ transform | x(n) = (0.8)" u(-n- 1)

A: Solution

Q: Find the generating functions of p[x sj), p[x j+ 1], and p[x = 2j] in terms of p(t)

A:

Q: The vahue of f(1.7) from the following table by using Gauss interpolating formula is *012| 3 4 f) -2…

A: formula for gauss forward interpolation is q=x-x0h…

Q: T-F If gcd(3a, 3b) = 6 then a and b must be relatively prime..

A:

Q: - Given A 4 find AT A. 1

A:

Q: S. ADEF with N-2,-1), -1, 3). 6ARCD with A(I, 4), R3, 2), CO, -2). FO. -1) in the sasis D-3, 1) in…

A: #5  Reflect the triangle DEF in x axis  For reflection over x axis , the rule is  (x,y) -----&gt;…

Q: Show by two methods one algebraic and one combinatorial that: ΣΗ (E) (-) = (m*") -k=0

A:

Q: m Show that E (")C")= ("*"). Using Combinatorial Proof. \m+p. k=0

A: We will use equating coefficent method

Q: The element (3x-6) is Reducible over QO lucible over Q and R c. Both d. Other O O O O

A: The elements (3x-6) is_____

Q: 21x - 42y = 42 176x + ay = 352 What is this exceptional value for a?

A: Given 21x - 42y = 42 176x + ay = 352

Q: Consider the following LP Min z= 3x, + 2.x, +7x, s.t - x, +x, =10 -2x, + x, - x, <-10 X,,X,,X, 2 0…

A: In the given LP problem when we solve it via simplex method, we use a series of tableaus.

Q: Find all the conjugacy classes of D4.

A: We have to find conjugacy Classes of the Dihedral Group, D4

Q: ex:-Find The Fourier expansion ot FOX=X-x³ -1<x<!

A:

Q: Show that for any n E N, n(n + 1)(2n + 1) %3D k=0

A:

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: 7. Find k so that dx ke + C.

A:

Q: The characteristic of Zs[x]/ is 6. 3 O None of the choices

A: The characteristics of the function

Q: -H-w/ Find: 0 Im P.P.(-1)

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: 1-(1)" da 57 The lower limit (a), for In (1H) O-3 O2

A:

Q: 1. Find the first-order derives:

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

Q: Pls help quick

A: Introduction: According to the combination rule, if r distinct items are to be chosen from n items…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.