1. There are at most 100 identical balls in a bowl but we don't know the exact number of them. However, we know that the balls are numbered with numbers 1, 2, ..., 0 and each of the number from number on to number 0 is used exactly once and the 0 ≥ 1 is an integer. We pick a single ball in random. Let Y be the number in a ball we pick at random. (a) What is the parameter space in the statistical model corresponding this setup? (b) What is the probability mass function f(y; 0) of the random variable Y? (c) Suppose that the obseverd number is = y 57. Tell what is the likelihood function corresponding to this data. What is the maximum likelihood estimate of the parameter with this observation. What is the maximum likelihood estimator of the parameter 0? (d) Show by calculating that the espected value of the maximum likelihood estima- tor (Y) is E(Y) = = 0 + 1 2 What is the bias of the ML estimator bias, (⑦(Y))? (Hint: the English Wikipedia page https://en.wikipedia.org/wiki/Discrete_uniform_distribution might be useful)

Q: 3x 2x13x2x3 = 0

A:

Q: Let U = {1,2,3,4,5), A = {1,3,5}, B = {1,3,4), and C = {2,3,5). (a) Find A U (BUC). (b) Find (AUB)…

A:

Q: What are the possible number of Boolean functions with n-ternary variable?

A: We have to state the possible number of boolean functions with n-ternary variables.

Q: 5. (a) Let A ={1,2,3,4,5} and B = {2,3,4}. How many sets C' have the property that C C A and BC C…

A: (a) The given set A is as follows. A=1,2,3,4,5 The subsets of A such that B is a subset of it is as…

Q: 7. i) How many functions are there from the set {1, 2, 3, ...,k} where k is a positive integer, to…

A:

Q: U = { all real numbers} A = { 10, 11, 12, 13, 14, ...} B = {-3, -2, -1, 0, 1, 2, 3} C = {-1, -2,…

A: This is a problem related to set theory. Based on the general formula we will answer the question.…

Q: . How many Boolean functions are there of degree 7? Explain.

A:

Q: Indicate the least upper bound of the following sets. If a set does not have a least upper bound,…

A: We have to find the least upper bound of the given set.

Q: How many 5-tuples (x, y, z, u, v) of natural numbers satisfy x + y+ z+u + v = 20? Let x= X-1,…

A:

Q: F (8)

A: We are given setsWe have to answer (d), (e), (f) and (g).

Q: Which of the following sets spans R? R32 O (3,0,-2)} O(3,0-2).(0,0,0)} O(3,0,-2).(5,1,0),(0,-1,1)} O…

A: hello greetings from bartelby.i am here to help you.

Q: Let U= {1, 7, 6, 14, 5, 10, 20, 18) A = {1, 20, 18} C = {7, 6, 14, 5, 10} Find A U C'.

A:

Q: onil s 2 S = {v1,V2} = 4 5 7 8. a. Explain why S is linearly independent but is not a basis for R³.…

A: A basis for a subspace S of Rn is a set of vectors in S that is linearly independent and is maximal…

Q: A = { 3, 0, 1 } B = { y, x }  what is the cardinality of A x P(B) ?

A: Given that, A = {3,0,1}  B ={ y , x }  Power set of B = {{},{x},{y},{x,y}}  Generally cardinality is…

Q: U = {9, 7, 8, 12, 5, 17, 4, 19} A = {9, 4, 19} C = {7, 8, 12, 5, 17} %3D Find AUC' (17, 4, 19) {9,…

A: To Find: A ∪ C'

Q: (1) Given two sets S₁ and S₂, compute their union. OL= {U= : S₁, S₂, and S3 are sets and S3 is the…

A: we want to know that the definition of union of two setunion of two set means the set containing all…

Q: In this group of problems, you are given two statements, A and B: determine whether one statement…

A: Solution

Q: Let U= (1, 15, 8, 14, 5, 10, 20, 22) A = (1, 20, 22) C = (15, 8, 14, 5, 10} Find AUC'.

A: Given: U = {1, 15, 8, 14, 5, 10, 20, 22} A= {1, 20, 22} C= {15, 8, 14, 5, 10}

Q: I am lost on this problem Set operations with 3 sets A' or ( B and C) U=(1,2,3,...,8) A= (1,2,3,5)…

A: The given sets are,

Q: a) How many derangements ) How many derangements has the set S? of S have 9 in the 2nd position and…

A: Given, Set S:1,2,.....9 Derangement is a permutation of the elements of a set, such that no element…

Q: Question 1 Let A = (-2,4), and B = 0, ox). Choose sets that are infinite and uncountable. O B\A B nQ…

A: Use the properties of set and countable sets to solve this problem.

Q: mutually disjoint? Why or why not?

A:

Q: 1. (a) Let A = {k, k +1,..., k2}, for k = 1,2,3,.... Uº1 Ak - n=1 Ak (b) Find two infinite sets A…

A: Part (a):- Given that  Ak =  k, k+1, ......, k2 ,   for  k=1, 2, 3,....Find    ∪k=150 Ak - ∩k=1∞ Ak…

Q: The universal set is U with n(U)= 70, A and B are subsets of U with n(A)= 55, n(B)= 20 and n(A’…

A:

Q: upper bound, just write "none." а. (2,3) b. (2,3] С. О

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: 9) If the vector w = (1,-4, 9, 18) can be (1,-1,3, 5) and v₂ = (2, 1, 0, -3) th are: 0000 O a=3,…

A:

Q: I. Let the universal set U = {1, 2, 3, ..., 10} . Let A = {1,4, 7, 10}, B = {1, 2, 3, 4, 5}, and C =…

A: According to our guidelines we can answer only first three sub-parts and rest can be reposted.

Q: Let N={1,2,3,4,...}. Let P(x,y) be the predicate that x is less than or equal to y^2

A: (d) S = {1, 2, 3, 4, 5, 6, 7, 8, 9} (e) T = {3,4,5,6,......} (f) R = {} (empty set)Explanation:(d)…

Q: Family OF lines parring through (0, -4)

A: Given that family of lines passing through (0,-4). To find differential equation based on above…

Q: Use the given cardinalities to determine the number of elements in the specific region. Where, "n"…

A: Since you posted more than 3 subparts, according to guidelines we can solve only first three…

Q: Let A and B be finite sets satisfying |A| = 6, |B| = 7 and |AN B| = 2. %3D Calculate the following:…

A: # we are entitled to solve three subparts at a time, please resubmit the other parts if you wish to…

Q: If minimum observation is 46.8 and maximum observation is 192.4, number of classes is 6, then the…

A:

Q: 12 2.345 -123456 -13 2.42 3). List the numbers in the picture above from greatest to least. Please…

A: Given: Numbers, 12, -13, 2.345, 2.42, -123456

Q: . Given the relation R1 from X = {1,2,3,4} to Y = {a,b,c} and R2 from Y = {a,b,c} and Z = {6,7,8}…

A: Here given  Relation R1 from X=1, 2, 3, 4 to Y=a, b, c is defined as R1=1, a, 2, a, 2, b, 3, c, 4,…

Q: Given U = { s,u,p, e,r,m,a,n , d , c , 1 ,9,7,4} A = {c, a,r,p,e,n,4,7 ,9} B = { s, p, a, m , 7 , 1}…

A:

Q: 2. Let S = {0, 1, 2, 3, 4} and T = {0, 2, 4). (a) How many ordered pairs are in S × T? T × S? (b)…

A: 12. Given that,                    S=0, 1, 2, 3, 4  & T=0, 2, 4.

Q: 1.39. For each point (m, n) in the digital plane, determine the smallest closed set containing (m,…

A: given:  for an each point  (m, n) in the digital planeTo…

Q: 1. For given fuzzy number A={(3/0,4); (4/0,6)(3/0,8)(4/1)}; B={(2/0,7):(3/1): (4/0,7)}. Determine A+…

A: Note- Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: For questions 1-8, match each set in Column I with the appropriate description in Column II. 1.) (1,…

A:

Q: 1. Two sets A and B as under: A = {(a, b) e Rx R:a-5 < 1 and b-5< 1}; B = {(a, b) e Rx R: 4(a-6) +…

A:

Q: 9. Which of the following are true for all sets A, B, and C. If the statement is true, prove it by…

A:

Q: Consider following five sets: 1. { , } { } II. { } II. IV. { , , } V. { , } Find all linearly…

A: