Question 6: Let n 2 2 be an integer and let ai,a2,...,an be a permutation of...

Question

Question

Answer 1

Answer #1

Please find below answer in screnshot.

value cut tr.ohich 으, 6 au ou es 2-5+6.6 10 t 36 =

Answer 2

Similar Homework Help Questions

Question 6: Let n 2 1 be an integer and let A[1...n] be an array that...

Question 6: Let n 2 1 be an integer and let A[1...n] be an array that stores a permutation of the set { 1, 2, . .. , n). If the array A s sorted. then Ak] = k for k = 1.2. .., n and, thus. TL k-1 If the array A is not sorted and Ak-i, where iメk, then Ak-서 is equal to the "distance" that the valuei must move in order to make the array sorted. Thus,...
Let f [n]n] be a permutation. A fixed point of f is an element x e [n] such that f(x)-x. Now cons...

Let f [n]n] be a permutation. A fixed point of f is an element x e [n] such that f(x)-x. Now consider random permutations of [n] and let X be the random variable which represents the number of fixed points of a given permutation. (a) What is the probability that X 0? (b) What is the probability that X 2? (c) What is the probability that X--1? (d) What is the expectation of X? (Hint: As usual, express X as...
(1) Let f : [n] [n] be a permutation. A fixed point of f is an element x e [n] such that f(x) - x...

(1) Let f : [n] [n] be a permutation. A fixed point of f is an element x e [n] such that f(x) - x. Now consider random permutations of [n] and let X be the random variable which represents the number of fixed points of a given permutation. (a) What is the probability that X 0? (b) What is the probability that X-n -2? (c) What is the probability that X-n-1? (d) What is the expectation of X? (Hint:...

Problem 2. Let n be a positive integer. We sample n numbers ai,...,an from the set...

Problem 2. Let n be a positive integer. We sample n numbers ai,...,an from the set 1, 2,...,n} uniformly at random, with replacement. Say that the picks i and j with i < j are a match if a -aj. What is the expected total number of matches? Hint: Use indicators. Wİ
3) (10 pts) For the purposes of this question, a permutation of size n is any...

3) (10 pts) For the purposes of this question, a permutation of size n is any ordering of the integers 0, 1, 2, ..., n-1. We define a spaced-out permutation of size n to be a permutation such that two consecutive terms in the permutation differ by at least 2. For example, [0, 2, 4, 1, 3] is a spaced out permutation of size 5, and [5, 2, 4, 0, 3, 1] is a spaced out permutation of size 6,...
Let {dn}n≥0 denote the number of integer solutions a1 +a2 +a3 +a4 = n where 0 ≤ ai ≤ 5 for each i...

Let {dn}n≥0 denote the number of integer solutions a1 +a2 +a3 +a4 = n where 0 ≤ ai ≤ 5 for each i = 1, 2, 3, 4. Write the ordinary generating function for {cn}n≥0. Please express the ordinary generating function as a rational function p(x) /q(x) where both p(x) and q(x) are polynomials in the variable x.

python code，please！ Task 3:N ns Brute For In mathematics, the notion of permutation relates to the act of arranging all the members of a set into some sequence or order, or if the set is already or...

python code，please！ Task 3:N ns Brute For In mathematics, the notion of permutation relates to the act of arranging all the members of a set into some sequence or order, or if the set is already ordered, rearranging (reordering) its elements, a process called permuting. The number of permutations on a set of n elements is given by n! (Read as n factorial). For example, there are 2!2 x 1- 2 permutations of 11,2), 2,1) and 3!-3x2x16 permutations of (1,2,3),...
Let n be a positive integer. We sample n numbers a1, a2,..., an from the set...

Let n be a positive integer. We sample n numbers a1, a2,..., an from the set {1,...,n} uniformly at random, with replacement. We say that picks i and j with are a match if ai = aj, i < j. What is the expected total number of matches? Use indicators.
Question 2. Monotone Convergence Define a sequence (an) inductively by ai = 1 and an+1 =...

Question 2. Monotone Convergence Define a sequence (an) inductively by ai = 1 and an+1 = ("p) (a) Show that, for any k E N, if 0 <a << 2 then 0 < ak+1 <2, and deduce that a, E (0,2) for all E N (b) Show that the sequence (an) is increasing and bounded above. (c) Prove that the sequence converges, and find its limit Question 2. Monotone Convergence Define a sequence (an) inductively by ai = 1 and...

1. If X is a nonnegative integer valued random variable, show that n-1 n-0 Hint: Define...

1. If X is a nonnegative integer valued random variable, show that n-1 n-0 Hint: Define the sequence of random variables I, n 1, by 1, if n X 10, ifn>X Now express X in terms of the I